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Finding the Fourth Proportional to 510,108.81, 703,956.07 and 292,313.17

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Solution

The fourth proportional to 510,108.81, 703,956.07 and 292,313.17 is: 403,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,108.81 : 703,956.07 = 292,313.17 : x
  2. Step 2: Convert to fraction form
    510,108.81/703,956.07 = 292,313.17/x
  3. Step 3: Cross multiply
    510,108.81x = 703,956.07 × 292,313.17
  4. Step 4: Simplify right side
    510,108.81x = 205,775,629,963.52
  5. Step 5: Solve for x
    x = 205,775,629,963.52/510,108.81
  6. Step 6: Final answer
    x = 403,395.56

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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.