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Finding the Fourth Proportional to 424,287.81, 585,433.40 and 238,025.52

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Solution

The fourth proportional to 424,287.81, 585,433.40 and 238,025.52 is: 328,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,287.81 : 585,433.40 = 238,025.52 : x
  2. Step 2: Convert to fraction form
    424,287.81/585,433.40 = 238,025.52/x
  3. Step 3: Cross multiply
    424,287.81x = 585,433.40 × 238,025.52
  4. Step 4: Simplify right side
    424,287.81x = 139,348,088,270.24
  5. Step 5: Solve for x
    x = 139,348,088,270.24/424,287.81
  6. Step 6: Final answer
    x = 328,428.22

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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.