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Finding the Fourth Proportional to 272,511.60, 407,989.80 and 241,407.60

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Solution

The fourth proportional to 272,511.60, 407,989.80 and 241,407.60 is: 361,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,511.60 : 407,989.80 = 241,407.60 : x
  2. Step 2: Convert to fraction form
    272,511.60/407,989.80 = 241,407.60/x
  3. Step 3: Cross multiply
    272,511.60x = 407,989.80 × 241,407.60
  4. Step 4: Simplify right side
    272,511.60x = 98,491,838,442.48
  5. Step 5: Solve for x
    x = 98,491,838,442.48/272,511.60
  6. Step 6: Final answer
    x = 361,422.55

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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.