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Finding the Fourth Proportional to 424,665.48, 586,392.90 and 282,062.15

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Solution

The fourth proportional to 424,665.48, 586,392.90 and 282,062.15 is: 389,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,665.48 : 586,392.90 = 282,062.15 : x
  2. Step 2: Convert to fraction form
    424,665.48/586,392.90 = 282,062.15/x
  3. Step 3: Cross multiply
    424,665.48x = 586,392.90 × 282,062.15
  4. Step 4: Simplify right side
    424,665.48x = 165,399,239,186.77
  5. Step 5: Solve for x
    x = 165,399,239,186.77/424,665.48
  6. Step 6: Final answer
    x = 389,481.24

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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.