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Finding the Fourth Proportional to 360,200.32, 497,073.28 and 199,066.24

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Solution

The fourth proportional to 360,200.32, 497,073.28 and 199,066.24 is: 274,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,200.32 : 497,073.28 = 199,066.24 : x
  2. Step 2: Convert to fraction form
    360,200.32/497,073.28 = 199,066.24/x
  3. Step 3: Cross multiply
    360,200.32x = 497,073.28 × 199,066.24
  4. Step 4: Simplify right side
    360,200.32x = 98,950,508,854.07
  5. Step 5: Solve for x
    x = 98,950,508,854.07/360,200.32
  6. Step 6: Final answer
    x = 274,709.66

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