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Finding the Fourth Proportional to 501,509.88, 752,265.63 and 177,539.04

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Solution

The fourth proportional to 501,509.88, 752,265.63 and 177,539.04 is: 266,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,509.88 : 752,265.63 = 177,539.04 : x
  2. Step 2: Convert to fraction form
    501,509.88/752,265.63 = 177,539.04/x
  3. Step 3: Cross multiply
    501,509.88x = 752,265.63 × 177,539.04
  4. Step 4: Simplify right side
    501,509.88x = 133,556,517,775.20
  5. Step 5: Solve for x
    x = 133,556,517,775.20/501,509.88
  6. Step 6: Final answer
    x = 266,308.85

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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.