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Finding the Fourth Proportional to 403,642.32, 557,001.96 and 233,847.12

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Solution

The fourth proportional to 403,642.32, 557,001.96 and 233,847.12 is: 322,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,642.32 : 557,001.96 = 233,847.12 : x
  2. Step 2: Convert to fraction form
    403,642.32/557,001.96 = 233,847.12/x
  3. Step 3: Cross multiply
    403,642.32x = 557,001.96 × 233,847.12
  4. Step 4: Simplify right side
    403,642.32x = 130,253,304,180.36
  5. Step 5: Solve for x
    x = 130,253,304,180.36/403,642.32
  6. Step 6: Final answer
    x = 322,694.87

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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.