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Finding the Fourth Proportional to 424,875.36, 586,324.80 and 233,892

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Solution

The fourth proportional to 424,875.36, 586,324.80 and 233,892 is: 322,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,875.36 : 586,324.80 = 233,892 : x
  2. Step 2: Convert to fraction form
    424,875.36/586,324.80 = 233,892/x
  3. Step 3: Cross multiply
    424,875.36x = 586,324.80 × 233,892
  4. Step 4: Simplify right side
    424,875.36x = 137,136,680,121.60
  5. Step 5: Solve for x
    x = 137,136,680,121.60/424,875.36
  6. Step 6: Final answer
    x = 322,769.20

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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.