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Finding the Fourth Proportional to 424,134.64, 585,306.48 and 233,149.24

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Solution

The fourth proportional to 424,134.64, 585,306.48 and 233,149.24 is: 321,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,134.64 : 585,306.48 = 233,149.24 : x
  2. Step 2: Convert to fraction form
    424,134.64/585,306.48 = 233,149.24/x
  3. Step 3: Cross multiply
    424,134.64x = 585,306.48 × 233,149.24
  4. Step 4: Simplify right side
    424,134.64x = 136,463,760,979.08
  5. Step 5: Solve for x
    x = 136,463,760,979.08/424,134.64
  6. Step 6: Final answer
    x = 321,746.32

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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.