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Finding the Fourth Proportional to 360,198.58, 497,031.70 and 199,044.02

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Solution

The fourth proportional to 360,198.58, 497,031.70 and 199,044.02 is: 274,657.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,198.58 : 497,031.70 = 199,044.02 : x
  2. Step 2: Convert to fraction form
    360,198.58/497,031.70 = 199,044.02/x
  3. Step 3: Cross multiply
    360,198.58x = 497,031.70 × 199,044.02
  4. Step 4: Simplify right side
    360,198.58x = 98,931,187,635.43
  5. Step 5: Solve for x
    x = 98,931,187,635.43/360,198.58
  6. Step 6: Final answer
    x = 274,657.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.