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Finding the Fourth Proportional to 424,931.86, 586,404.30 and 233,945.38

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Solution

The fourth proportional to 424,931.86, 586,404.30 and 233,945.38 is: 322,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,931.86 : 586,404.30 = 233,945.38 : x
  2. Step 2: Convert to fraction form
    424,931.86/586,404.30 = 233,945.38/x
  3. Step 3: Cross multiply
    424,931.86x = 586,404.30 × 233,945.38
  4. Step 4: Simplify right side
    424,931.86x = 137,186,576,797.13
  5. Step 5: Solve for x
    x = 137,186,576,797.13/424,931.86
  6. Step 6: Final answer
    x = 322,843.71

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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.