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Finding the Fourth Proportional to 361,419.52, 498,763.12 and 200,277.26

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Solution

The fourth proportional to 361,419.52, 498,763.12 and 200,277.26 is: 276,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,419.52 : 498,763.12 = 200,277.26 : x
  2. Step 2: Convert to fraction form
    361,419.52/498,763.12 = 200,277.26/x
  3. Step 3: Cross multiply
    361,419.52x = 498,763.12 × 200,277.26
  4. Step 4: Simplify right side
    361,419.52x = 99,890,910,314.02
  5. Step 5: Solve for x
    x = 99,890,910,314.02/361,419.52
  6. Step 6: Final answer
    x = 276,384.93

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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.