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Finding the Fourth Proportional to 493,232.02, 739,869.53 and 156,297.53

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Solution

The fourth proportional to 493,232.02, 739,869.53 and 156,297.53 is: 234,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,232.02 : 739,869.53 = 156,297.53 : x
  2. Step 2: Convert to fraction form
    493,232.02/739,869.53 = 156,297.53/x
  3. Step 3: Cross multiply
    493,232.02x = 739,869.53 × 156,297.53
  4. Step 4: Simplify right side
    493,232.02x = 115,639,781,129.45
  5. Step 5: Solve for x
    x = 115,639,781,129.45/493,232.02
  6. Step 6: Final answer
    x = 234,453.11

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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.