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Finding the Fourth Proportional to 563,318.88, 844,978.95 and 142,594.76

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Solution

The fourth proportional to 563,318.88, 844,978.95 and 142,594.76 is: 213,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,318.88 : 844,978.95 = 142,594.76 : x
  2. Step 2: Convert to fraction form
    563,318.88/844,978.95 = 142,594.76/x
  3. Step 3: Cross multiply
    563,318.88x = 844,978.95 × 142,594.76
  4. Step 4: Simplify right side
    563,318.88x = 120,489,570,580.30
  5. Step 5: Solve for x
    x = 120,489,570,580.30/563,318.88
  6. Step 6: Final answer
    x = 213,892.30

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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.