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Finding the Fourth Proportional to 361,883.60, 542,825.40 and 249,909.20

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Solution

The fourth proportional to 361,883.60, 542,825.40 and 249,909.20 is: 374,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,883.60 : 542,825.40 = 249,909.20 : x
  2. Step 2: Convert to fraction form
    361,883.60/542,825.40 = 249,909.20/x
  3. Step 3: Cross multiply
    361,883.60x = 542,825.40 × 249,909.20
  4. Step 4: Simplify right side
    361,883.60x = 135,657,061,453.68
  5. Step 5: Solve for x
    x = 135,657,061,453.68/361,883.60
  6. Step 6: Final answer
    x = 374,863.80

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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.