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Finding the Fourth Proportional to 288,031.20, 432,046.80 and 198,218.40

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Solution

The fourth proportional to 288,031.20, 432,046.80 and 198,218.40 is: 297,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,031.20 : 432,046.80 = 198,218.40 : x
  2. Step 2: Convert to fraction form
    288,031.20/432,046.80 = 198,218.40/x
  3. Step 3: Cross multiply
    288,031.20x = 432,046.80 × 198,218.40
  4. Step 4: Simplify right side
    288,031.20x = 85,639,625,421.12
  5. Step 5: Solve for x
    x = 85,639,625,421.12/288,031.20
  6. Step 6: Final answer
    x = 297,327.60

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1.5x scale

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.