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Finding the Fourth Proportional to 614,426.62, 847,896.59 and 342,478.29

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Solution

The fourth proportional to 614,426.62, 847,896.59 and 342,478.29 is: 472,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,426.62 : 847,896.59 = 342,478.29 : x
  2. Step 2: Convert to fraction form
    614,426.62/847,896.59 = 342,478.29/x
  3. Step 3: Cross multiply
    614,426.62x = 847,896.59 × 342,478.29
  4. Step 4: Simplify right side
    614,426.62x = 290,386,174,240.03
  5. Step 5: Solve for x
    x = 290,386,174,240.03/614,426.62
  6. Step 6: Final answer
    x = 472,613.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.