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Finding the Fourth Proportional to 361,575.42, 498,966.10 and 200,429.07

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Solution

The fourth proportional to 361,575.42, 498,966.10 and 200,429.07 is: 276,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,575.42 : 498,966.10 = 200,429.07 : x
  2. Step 2: Convert to fraction form
    361,575.42/498,966.10 = 200,429.07/x
  3. Step 3: Cross multiply
    361,575.42x = 498,966.10 × 200,429.07
  4. Step 4: Simplify right side
    361,575.42x = 100,007,311,384.53
  5. Step 5: Solve for x
    x = 100,007,311,384.53/361,575.42
  6. Step 6: Final answer
    x = 276,587.69

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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.