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Finding the Fourth Proportional to 575,758.14, 864,385.58 and 442,731.79

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Solution

The fourth proportional to 575,758.14, 864,385.58 and 442,731.79 is: 664,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,758.14 : 864,385.58 = 442,731.79 : x
  2. Step 2: Convert to fraction form
    575,758.14/864,385.58 = 442,731.79/x
  3. Step 3: Cross multiply
    575,758.14x = 864,385.58 × 442,731.79
  4. Step 4: Simplify right side
    575,758.14x = 382,690,974,780.53
  5. Step 5: Solve for x
    x = 382,690,974,780.53/575,758.14
  6. Step 6: Final answer
    x = 664,673.14

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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.