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Finding the Fourth Proportional to 361,487.68, 498,853.05 and 200,353.14

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Solution

The fourth proportional to 361,487.68, 498,853.05 and 200,353.14 is: 276,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,487.68 : 498,853.05 = 200,353.14 : x
  2. Step 2: Convert to fraction form
    361,487.68/498,853.05 = 200,353.14/x
  3. Step 3: Cross multiply
    361,487.68x = 498,853.05 × 200,353.14
  4. Step 4: Simplify right side
    361,487.68x = 99,946,774,966.08
  5. Step 5: Solve for x
    x = 99,946,774,966.08/361,487.68
  6. Step 6: Final answer
    x = 276,487.36

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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.