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Finding the Fourth Proportional to 410,779.20, 615,902.40 and 174,057.60

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Solution

The fourth proportional to 410,779.20, 615,902.40 and 174,057.60 is: 260,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,779.20 : 615,902.40 = 174,057.60 : x
  2. Step 2: Convert to fraction form
    410,779.20/615,902.40 = 174,057.60/x
  3. Step 3: Cross multiply
    410,779.20x = 615,902.40 × 174,057.60
  4. Step 4: Simplify right side
    410,779.20x = 107,202,493,578.24
  5. Step 5: Solve for x
    x = 107,202,493,578.24/410,779.20
  6. Step 6: Final answer
    x = 260,973.52

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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.