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Finding the Fourth Proportional to 424,125.64, 585,294.02 and 233,140.20

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Solution

The fourth proportional to 424,125.64, 585,294.02 and 233,140.20 is: 321,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,125.64 : 585,294.02 = 233,140.20 : x
  2. Step 2: Convert to fraction form
    424,125.64/585,294.02 = 233,140.20/x
  3. Step 3: Cross multiply
    424,125.64x = 585,294.02 × 233,140.20
  4. Step 4: Simplify right side
    424,125.64x = 136,455,564,881.60
  5. Step 5: Solve for x
    x = 136,455,564,881.60/424,125.64
  6. Step 6: Final answer
    x = 321,733.83

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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.