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Finding the Fourth Proportional to 261,003.49, 360,358.34 and 200,465.91

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Solution

The fourth proportional to 261,003.49, 360,358.34 and 200,465.91 is: 276,776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,003.49 : 360,358.34 = 200,465.91 : x
  2. Step 2: Convert to fraction form
    261,003.49/360,358.34 = 200,465.91/x
  3. Step 3: Cross multiply
    261,003.49x = 360,358.34 × 200,465.91
  4. Step 4: Simplify right side
    261,003.49x = 72,239,561,551.86
  5. Step 5: Solve for x
    x = 72,239,561,551.86/261,003.49
  6. Step 6: Final answer
    x = 276,776.23

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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.