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Finding the Fourth Proportional to 431,924.60, 648,210.90 and 221,454.20

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Solution

The fourth proportional to 431,924.60, 648,210.90 and 221,454.20 is: 332,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,924.60 : 648,210.90 = 221,454.20 : x
  2. Step 2: Convert to fraction form
    431,924.60/648,210.90 = 221,454.20/x
  3. Step 3: Cross multiply
    431,924.60x = 648,210.90 × 221,454.20
  4. Step 4: Simplify right side
    431,924.60x = 143,549,026,290.78
  5. Step 5: Solve for x
    x = 143,549,026,290.78/431,924.60
  6. Step 6: Final answer
    x = 332,347.42

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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.