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Finding the Fourth Proportional to 286,044.32, 429,135.84 and 86,352.78

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Solution

The fourth proportional to 286,044.32, 429,135.84 and 86,352.78 is: 129,550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,044.32 : 429,135.84 = 86,352.78 : x
  2. Step 2: Convert to fraction form
    286,044.32/429,135.84 = 86,352.78/x
  3. Step 3: Cross multiply
    286,044.32x = 429,135.84 × 86,352.78
  4. Step 4: Simplify right side
    286,044.32x = 37,057,072,781.64
  5. Step 5: Solve for x
    x = 37,057,072,781.64/286,044.32
  6. Step 6: Final answer
    x = 129,550.11

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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.