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Finding the Fourth Proportional to 378,223.50, 567,432.45 and 141,569.58

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Solution

The fourth proportional to 378,223.50, 567,432.45 and 141,569.58 is: 212,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,223.50 : 567,432.45 = 141,569.58 : x
  2. Step 2: Convert to fraction form
    378,223.50/567,432.45 = 141,569.58/x
  3. Step 3: Cross multiply
    378,223.50x = 567,432.45 × 141,569.58
  4. Step 4: Simplify right side
    378,223.50x = 80,331,173,624.87
  5. Step 5: Solve for x
    x = 80,331,173,624.87/378,223.50
  6. Step 6: Final answer
    x = 212,390.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.