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Finding the Fourth Proportional to 474,655.25, 712,099.52 and 142,231.25

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Solution

The fourth proportional to 474,655.25, 712,099.52 and 142,231.25 is: 213,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,655.25 : 712,099.52 = 142,231.25 : x
  2. Step 2: Convert to fraction form
    474,655.25/712,099.52 = 142,231.25/x
  3. Step 3: Cross multiply
    474,655.25x = 712,099.52 × 142,231.25
  4. Step 4: Simplify right side
    474,655.25x = 101,282,804,854
  5. Step 5: Solve for x
    x = 101,282,804,854/474,655.25
  6. Step 6: Final answer
    x = 213,381.83

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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.