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Finding the Fourth Proportional to 493,084.45, 739,737.24 and 156,145.51

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Solution

The fourth proportional to 493,084.45, 739,737.24 and 156,145.51 is: 234,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,084.45 : 739,737.24 = 156,145.51 : x
  2. Step 2: Convert to fraction form
    493,084.45/739,737.24 = 156,145.51/x
  3. Step 3: Cross multiply
    493,084.45x = 739,737.24 × 156,145.51
  4. Step 4: Simplify right side
    493,084.45x = 115,506,648,605.79
  5. Step 5: Solve for x
    x = 115,506,648,605.79/493,084.45
  6. Step 6: Final answer
    x = 234,253.28

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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.