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Finding the Fourth Proportional to 424,718.22, 586,109.88 and 233,731.47

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Solution

The fourth proportional to 424,718.22, 586,109.88 and 233,731.47 is: 322,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,718.22 : 586,109.88 = 233,731.47 : x
  2. Step 2: Convert to fraction form
    424,718.22/586,109.88 = 233,731.47/x
  3. Step 3: Cross multiply
    424,718.22x = 586,109.88 × 233,731.47
  4. Step 4: Simplify right side
    424,718.22x = 136,992,323,833.92
  5. Step 5: Solve for x
    x = 136,992,323,833.92/424,718.22
  6. Step 6: Final answer
    x = 322,548.73

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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.