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Finding the Fourth Proportional to 649,701.72, 974,657.70 and 200,317.50

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Solution

The fourth proportional to 649,701.72, 974,657.70 and 200,317.50 is: 300,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,701.72 : 974,657.70 = 200,317.50 : x
  2. Step 2: Convert to fraction form
    649,701.72/974,657.70 = 200,317.50/x
  3. Step 3: Cross multiply
    649,701.72x = 974,657.70 × 200,317.50
  4. Step 4: Simplify right side
    649,701.72x = 195,240,993,819.75
  5. Step 5: Solve for x
    x = 195,240,993,819.75/649,701.72
  6. Step 6: Final answer
    x = 300,508.66

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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.