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Finding the Fourth Proportional to 454,909.76, 682,364.64 and 442,468.16

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Solution

The fourth proportional to 454,909.76, 682,364.64 and 442,468.16 is: 663,702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,909.76 : 682,364.64 = 442,468.16 : x
  2. Step 2: Convert to fraction form
    454,909.76/682,364.64 = 442,468.16/x
  3. Step 3: Cross multiply
    454,909.76x = 682,364.64 × 442,468.16
  4. Step 4: Simplify right side
    454,909.76x = 301,924,626,709.86
  5. Step 5: Solve for x
    x = 301,924,626,709.86/454,909.76
  6. Step 6: Final answer
    x = 663,702.24

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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.