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Finding the Fourth Proportional to 546,141.60, 819,327.60 and 172,202.40

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Solution

The fourth proportional to 546,141.60, 819,327.60 and 172,202.40 is: 258,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,141.60 : 819,327.60 = 172,202.40 : x
  2. Step 2: Convert to fraction form
    546,141.60/819,327.60 = 172,202.40/x
  3. Step 3: Cross multiply
    546,141.60x = 819,327.60 × 172,202.40
  4. Step 4: Simplify right side
    546,141.60x = 141,090,179,106.24
  5. Step 5: Solve for x
    x = 141,090,179,106.24/546,141.60
  6. Step 6: Final answer
    x = 258,339.92

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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.