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Finding the Fourth Proportional to 424,210.50, 585,424.17 and 233,237.70

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Solution

The fourth proportional to 424,210.50, 585,424.17 and 233,237.70 is: 321,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,210.50 : 585,424.17 = 233,237.70 : x
  2. Step 2: Convert to fraction form
    424,210.50/585,424.17 = 233,237.70/x
  3. Step 3: Cross multiply
    424,210.50x = 585,424.17 × 233,237.70
  4. Step 4: Simplify right side
    424,210.50x = 136,542,986,935.21
  5. Step 5: Solve for x
    x = 136,542,986,935.21/424,210.50
  6. Step 6: Final answer
    x = 321,875.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.