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Finding the Fourth Proportional to 531,810.97, 797,543.31 and 176,729.65

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Solution

The fourth proportional to 531,810.97, 797,543.31 and 176,729.65 is: 265,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,810.97 : 797,543.31 = 176,729.65 : x
  2. Step 2: Convert to fraction form
    531,810.97/797,543.31 = 176,729.65/x
  3. Step 3: Cross multiply
    531,810.97x = 797,543.31 × 176,729.65
  4. Step 4: Simplify right side
    531,810.97x = 140,949,548,705.02
  5. Step 5: Solve for x
    x = 140,949,548,705.02/531,810.97
  6. Step 6: Final answer
    x = 265,036.93

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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.