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Finding the Fourth Proportional to 284,419.31, 426,582.25 and 94,881.13

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Solution

The fourth proportional to 284,419.31, 426,582.25 and 94,881.13 is: 142,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,419.31 : 426,582.25 = 94,881.13 : x
  2. Step 2: Convert to fraction form
    284,419.31/426,582.25 = 94,881.13/x
  3. Step 3: Cross multiply
    284,419.31x = 426,582.25 × 94,881.13
  4. Step 4: Simplify right side
    284,419.31x = 40,474,604,614.28
  5. Step 5: Solve for x
    x = 40,474,604,614.28/284,419.31
  6. Step 6: Final answer
    x = 142,306.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.