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Finding the Fourth Proportional to 382,891.51, 574,337.08 and 146,258.11

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Solution

The fourth proportional to 382,891.51, 574,337.08 and 146,258.11 is: 219,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,891.51 : 574,337.08 = 146,258.11 : x
  2. Step 2: Convert to fraction form
    382,891.51/574,337.08 = 146,258.11/x
  3. Step 3: Cross multiply
    382,891.51x = 574,337.08 × 146,258.11
  4. Step 4: Simplify right side
    382,891.51x = 84,001,454,570.70
  5. Step 5: Solve for x
    x = 84,001,454,570.70/382,891.51
  6. Step 6: Final answer
    x = 219,387.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.