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Finding the Fourth Proportional to 506,882.62, 698,350.87 and 416,094.85

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Solution

The fourth proportional to 506,882.62, 698,350.87 and 416,094.85 is: 573,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,882.62 : 698,350.87 = 416,094.85 : x
  2. Step 2: Convert to fraction form
    506,882.62/698,350.87 = 416,094.85/x
  3. Step 3: Cross multiply
    506,882.62x = 698,350.87 × 416,094.85
  4. Step 4: Simplify right side
    506,882.62x = 290,580,197,713.91
  5. Step 5: Solve for x
    x = 290,580,197,713.91/506,882.62
  6. Step 6: Final answer
    x = 573,269.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.