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Finding the Fourth Proportional to 360,385.74, 497,310.90 and 199,231.14

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Solution

The fourth proportional to 360,385.74, 497,310.90 and 199,231.14 is: 274,927.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,385.74 : 497,310.90 = 199,231.14 : x
  2. Step 2: Convert to fraction form
    360,385.74/497,310.90 = 199,231.14/x
  3. Step 3: Cross multiply
    360,385.74x = 497,310.90 × 199,231.14
  4. Step 4: Simplify right side
    360,385.74x = 99,079,817,541.43
  5. Step 5: Solve for x
    x = 99,079,817,541.43/360,385.74
  6. Step 6: Final answer
    x = 274,927.13

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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.