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Finding the Fourth Proportional to 553,194.88, 829,607.46 and 216,148.12

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Solution

The fourth proportional to 553,194.88, 829,607.46 and 216,148.12 is: 324,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,194.88 : 829,607.46 = 216,148.12 : x
  2. Step 2: Convert to fraction form
    553,194.88/829,607.46 = 216,148.12/x
  3. Step 3: Cross multiply
    553,194.88x = 829,607.46 × 216,148.12
  4. Step 4: Simplify right side
    553,194.88x = 179,318,092,816.98
  5. Step 5: Solve for x
    x = 179,318,092,816.98/553,194.88
  6. Step 6: Final answer
    x = 324,149.95

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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.