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Finding the Fourth Proportional to 532,205.60, 798,135.60 and 177,159.20

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Solution

The fourth proportional to 532,205.60, 798,135.60 and 177,159.20 is: 265,681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,205.60 : 798,135.60 = 177,159.20 : x
  2. Step 2: Convert to fraction form
    532,205.60/798,135.60 = 177,159.20/x
  3. Step 3: Cross multiply
    532,205.60x = 798,135.60 × 177,159.20
  4. Step 4: Simplify right side
    532,205.60x = 141,397,064,387.52
  5. Step 5: Solve for x
    x = 141,397,064,387.52/532,205.60
  6. Step 6: Final answer
    x = 265,681.28

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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.