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Finding the Fourth Proportional to 286,550.40, 429,829.20 and 86,872.80

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Solution

The fourth proportional to 286,550.40, 429,829.20 and 86,872.80 is: 130,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,550.40 : 429,829.20 = 86,872.80 : x
  2. Step 2: Convert to fraction form
    286,550.40/429,829.20 = 86,872.80/x
  3. Step 3: Cross multiply
    286,550.40x = 429,829.20 × 86,872.80
  4. Step 4: Simplify right side
    286,550.40x = 37,340,466,125.76
  5. Step 5: Solve for x
    x = 37,340,466,125.76/286,550.40
  6. Step 6: Final answer
    x = 130,310.29

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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.