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Finding the Fourth Proportional to 493,232.81, 739,870.74 and 156,298.29

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Solution

The fourth proportional to 493,232.81, 739,870.74 and 156,298.29 is: 234,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,232.81 : 739,870.74 = 156,298.29 : x
  2. Step 2: Convert to fraction form
    493,232.81/739,870.74 = 156,298.29/x
  3. Step 3: Cross multiply
    493,232.81x = 739,870.74 × 156,298.29
  4. Step 4: Simplify right side
    493,232.81x = 115,640,531,483.04
  5. Step 5: Solve for x
    x = 115,640,531,483.04/493,232.81
  6. Step 6: Final answer
    x = 234,454.26

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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.