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Finding the Fourth Proportional to 649,672.90, 974,509.35 and 471,343.30

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Solution

The fourth proportional to 649,672.90, 974,509.35 and 471,343.30 is: 707,014.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,672.90 : 974,509.35 = 471,343.30 : x
  2. Step 2: Convert to fraction form
    649,672.90/974,509.35 = 471,343.30/x
  3. Step 3: Cross multiply
    649,672.90x = 974,509.35 × 471,343.30
  4. Step 4: Simplify right side
    649,672.90x = 459,328,452,909.86
  5. Step 5: Solve for x
    x = 459,328,452,909.86/649,672.90
  6. Step 6: Final answer
    x = 707,014.95

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.