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Finding the Fourth Proportional to 506,095.17, 698,412.02 and 291,230.97

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Solution

The fourth proportional to 506,095.17, 698,412.02 and 291,230.97 is: 401,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,095.17 : 698,412.02 = 291,230.97 : x
  2. Step 2: Convert to fraction form
    506,095.17/698,412.02 = 291,230.97/x
  3. Step 3: Cross multiply
    506,095.17x = 698,412.02 × 291,230.97
  4. Step 4: Simplify right side
    506,095.17x = 203,399,208,588.11
  5. Step 5: Solve for x
    x = 203,399,208,588.11/506,095.17
  6. Step 6: Final answer
    x = 401,899.13

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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.