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Finding the Fourth Proportional to 282,897.96, 423,960.48 and 156,350.76

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Solution

The fourth proportional to 282,897.96, 423,960.48 and 156,350.76 is: 234,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,897.96 : 423,960.48 = 156,350.76 : x
  2. Step 2: Convert to fraction form
    282,897.96/423,960.48 = 156,350.76/x
  3. Step 3: Cross multiply
    282,897.96x = 423,960.48 × 156,350.76
  4. Step 4: Simplify right side
    282,897.96x = 66,286,543,257.96
  5. Step 5: Solve for x
    x = 66,286,543,257.96/282,897.96
  6. Step 6: Final answer
    x = 234,312.55

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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.