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Finding the Fourth Proportional to 497,577.60, 746,560.80 and 182,059.20

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Solution

The fourth proportional to 497,577.60, 746,560.80 and 182,059.20 is: 273,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,577.60 : 746,560.80 = 182,059.20 : x
  2. Step 2: Convert to fraction form
    497,577.60/746,560.80 = 182,059.20/x
  3. Step 3: Cross multiply
    497,577.60x = 746,560.80 × 182,059.20
  4. Step 4: Simplify right side
    497,577.60x = 135,918,261,999.36
  5. Step 5: Solve for x
    x = 135,918,261,999.36/497,577.60
  6. Step 6: Final answer
    x = 273,159.93

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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.