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Finding the Fourth Proportional to 282,552.82, 423,124.50 and 197,915.92

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Solution

The fourth proportional to 282,552.82, 423,124.50 and 197,915.92 is: 296,380.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,552.82 : 423,124.50 = 197,915.92 : x
  2. Step 2: Convert to fraction form
    282,552.82/423,124.50 = 197,915.92/x
  3. Step 3: Cross multiply
    282,552.82x = 423,124.50 × 197,915.92
  4. Step 4: Simplify right side
    282,552.82x = 83,743,074,692.04
  5. Step 5: Solve for x
    x = 83,743,074,692.04/282,552.82
  6. Step 6: Final answer
    x = 296,380.25

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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.