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Finding the Fourth Proportional to 424,680.44, 586,034.64 and 233,693.82

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Solution

The fourth proportional to 424,680.44, 586,034.64 and 233,693.82 is: 322,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,680.44 : 586,034.64 = 233,693.82 : x
  2. Step 2: Convert to fraction form
    424,680.44/586,034.64 = 233,693.82/x
  3. Step 3: Cross multiply
    424,680.44x = 586,034.64 × 233,693.82
  4. Step 4: Simplify right side
    424,680.44x = 136,952,673,673.93
  5. Step 5: Solve for x
    x = 136,952,673,673.93/424,680.44
  6. Step 6: Final answer
    x = 322,484.07

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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.