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Finding the Fourth Proportional to 361,449.83, 498,803.70 and 200,307.53

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Solution

The fourth proportional to 361,449.83, 498,803.70 and 200,307.53 is: 276,426.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,449.83 : 498,803.70 = 200,307.53 : x
  2. Step 2: Convert to fraction form
    361,449.83/498,803.70 = 200,307.53/x
  3. Step 3: Cross multiply
    361,449.83x = 498,803.70 × 200,307.53
  4. Step 4: Simplify right side
    361,449.83x = 99,914,137,101.86
  5. Step 5: Solve for x
    x = 99,914,137,101.86/361,449.83
  6. Step 6: Final answer
    x = 276,426.02

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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.