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Finding the Fourth Proportional to 475,153.89, 655,463.79 and 293,807.85

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Solution

The fourth proportional to 475,153.89, 655,463.79 and 293,807.85 is: 405,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,153.89 : 655,463.79 = 293,807.85 : x
  2. Step 2: Convert to fraction form
    475,153.89/655,463.79 = 293,807.85/x
  3. Step 3: Cross multiply
    475,153.89x = 655,463.79 × 293,807.85
  4. Step 4: Simplify right side
    475,153.89x = 192,580,406,892.75
  5. Step 5: Solve for x
    x = 192,580,406,892.75/475,153.89
  6. Step 6: Final answer
    x = 405,301.13

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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.