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Finding the Fourth Proportional to 390,151.80, 585,422.10 and 221,801.40

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Solution

The fourth proportional to 390,151.80, 585,422.10 and 221,801.40 is: 332,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,151.80 : 585,422.10 = 221,801.40 : x
  2. Step 2: Convert to fraction form
    390,151.80/585,422.10 = 221,801.40/x
  3. Step 3: Cross multiply
    390,151.80x = 585,422.10 × 221,801.40
  4. Step 4: Simplify right side
    390,151.80x = 129,847,441,370.94
  5. Step 5: Solve for x
    x = 129,847,441,370.94/390,151.80
  6. Step 6: Final answer
    x = 332,812.62

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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.