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Finding the Fourth Proportional to 531,816.80, 797,732.14 and 176,830.82

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Solution

The fourth proportional to 531,816.80, 797,732.14 and 176,830.82 is: 265,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,816.80 : 797,732.14 = 176,830.82 : x
  2. Step 2: Convert to fraction form
    531,816.80/797,732.14 = 176,830.82/x
  3. Step 3: Cross multiply
    531,816.80x = 797,732.14 × 176,830.82
  4. Step 4: Simplify right side
    531,816.80x = 141,063,627,680.43
  5. Step 5: Solve for x
    x = 141,063,627,680.43/531,816.80
  6. Step 6: Final answer
    x = 265,248.54

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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.