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Finding the Fourth Proportional to 506,098.72, 698,485.68 and 291,234.40

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Solution

The fourth proportional to 506,098.72, 698,485.68 and 291,234.40 is: 401,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,098.72 : 698,485.68 = 291,234.40 : x
  2. Step 2: Convert to fraction form
    506,098.72/698,485.68 = 291,234.40/x
  3. Step 3: Cross multiply
    506,098.72x = 698,485.68 × 291,234.40
  4. Step 4: Simplify right side
    506,098.72x = 203,423,057,923.39
  5. Step 5: Solve for x
    x = 203,423,057,923.39/506,098.72
  6. Step 6: Final answer
    x = 401,943.43

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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.