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Finding the Fourth Proportional to 649,402.91, 974,210.99 and 200,123.86

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Solution

The fourth proportional to 649,402.91, 974,210.99 and 200,123.86 is: 300,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,402.91 : 974,210.99 = 200,123.86 : x
  2. Step 2: Convert to fraction form
    649,402.91/974,210.99 = 200,123.86/x
  3. Step 3: Cross multiply
    649,402.91x = 974,210.99 × 200,123.86
  4. Step 4: Simplify right side
    649,402.91x = 194,962,860,337.08
  5. Step 5: Solve for x
    x = 194,962,860,337.08/649,402.91
  6. Step 6: Final answer
    x = 300,218.64

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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.