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Finding the Fourth Proportional to 354,945.20, 532,417.80 and 189,057.20

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Solution

The fourth proportional to 354,945.20, 532,417.80 and 189,057.20 is: 283,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,945.20 : 532,417.80 = 189,057.20 : x
  2. Step 2: Convert to fraction form
    354,945.20/532,417.80 = 189,057.20/x
  3. Step 3: Cross multiply
    354,945.20x = 532,417.80 × 189,057.20
  4. Step 4: Simplify right side
    354,945.20x = 100,657,418,498.16
  5. Step 5: Solve for x
    x = 100,657,418,498.16/354,945.20
  6. Step 6: Final answer
    x = 283,585.80

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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.