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Finding the Fourth Proportional to 388,658.43, 583,319.94 and 152,167.17

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Solution

The fourth proportional to 388,658.43, 583,319.94 and 152,167.17 is: 228,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,658.43 : 583,319.94 = 152,167.17 : x
  2. Step 2: Convert to fraction form
    388,658.43/583,319.94 = 152,167.17/x
  3. Step 3: Cross multiply
    388,658.43x = 583,319.94 × 152,167.17
  4. Step 4: Simplify right side
    388,658.43x = 88,762,144,474.37
  5. Step 5: Solve for x
    x = 88,762,144,474.37/388,658.43
  6. Step 6: Final answer
    x = 228,380.85

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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.