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Finding the Fourth Proportional to 472,407.72, 708,466.23 and 135,358.05

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Solution

The fourth proportional to 472,407.72, 708,466.23 and 135,358.05 is: 202,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,407.72 : 708,466.23 = 135,358.05 : x
  2. Step 2: Convert to fraction form
    472,407.72/708,466.23 = 135,358.05/x
  3. Step 3: Cross multiply
    472,407.72x = 708,466.23 × 135,358.05
  4. Step 4: Simplify right side
    472,407.72x = 95,896,607,383.65
  5. Step 5: Solve for x
    x = 95,896,607,383.65/472,407.72
  6. Step 6: Final answer
    x = 202,995.43

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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.