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Finding the Fourth Proportional to 424,002.51, 585,134.24 and 233,020.75

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Solution

The fourth proportional to 424,002.51, 585,134.24 and 233,020.75 is: 321,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,002.51 : 585,134.24 = 233,020.75 : x
  2. Step 2: Convert to fraction form
    424,002.51/585,134.24 = 233,020.75/x
  3. Step 3: Cross multiply
    424,002.51x = 585,134.24 × 233,020.75
  4. Step 4: Simplify right side
    424,002.51x = 136,348,418,290.38
  5. Step 5: Solve for x
    x = 136,348,418,290.38/424,002.51
  6. Step 6: Final answer
    x = 321,574.55

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Half scale
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Double scale
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1.5x scale

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.