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Finding the Fourth Proportional to 527,805.75, 728,354.19 and 312,818.19

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Solution

The fourth proportional to 527,805.75, 728,354.19 and 312,818.19 is: 431,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,805.75 : 728,354.19 = 312,818.19 : x
  2. Step 2: Convert to fraction form
    527,805.75/728,354.19 = 312,818.19/x
  3. Step 3: Cross multiply
    527,805.75x = 728,354.19 × 312,818.19
  4. Step 4: Simplify right side
    527,805.75x = 227,842,437,836.46
  5. Step 5: Solve for x
    x = 227,842,437,836.46/527,805.75
  6. Step 6: Final answer
    x = 431,678.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.