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Finding the Fourth Proportional to 286,540.40, 429,814.20 and 86,862.80

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Solution

The fourth proportional to 286,540.40, 429,814.20 and 86,862.80 is: 130,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,540.40 : 429,814.20 = 86,862.80 : x
  2. Step 2: Convert to fraction form
    286,540.40/429,814.20 = 86,862.80/x
  3. Step 3: Cross multiply
    286,540.40x = 429,814.20 × 86,862.80
  4. Step 4: Simplify right side
    286,540.40x = 37,334,864,891.76
  5. Step 5: Solve for x
    x = 37,334,864,891.76/286,540.40
  6. Step 6: Final answer
    x = 130,295.29

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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.