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Finding the Fourth Proportional to 361,569.60, 542,440.80 and 174,427.20

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Solution

The fourth proportional to 361,569.60, 542,440.80 and 174,427.20 is: 261,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,569.60 : 542,440.80 = 174,427.20 : x
  2. Step 2: Convert to fraction form
    361,569.60/542,440.80 = 174,427.20/x
  3. Step 3: Cross multiply
    361,569.60x = 542,440.80 × 174,427.20
  4. Step 4: Simplify right side
    361,569.60x = 94,616,429,909.76
  5. Step 5: Solve for x
    x = 94,616,429,909.76/361,569.60
  6. Step 6: Final answer
    x = 261,682.48

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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.