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Finding the Fourth Proportional to 361,597.60, 498,971.07 and 200,438.92

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Solution

The fourth proportional to 361,597.60, 498,971.07 and 200,438.92 is: 276,587.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,597.60 : 498,971.07 = 200,438.92 : x
  2. Step 2: Convert to fraction form
    361,597.60/498,971.07 = 200,438.92/x
  3. Step 3: Cross multiply
    361,597.60x = 498,971.07 × 200,438.92
  4. Step 4: Simplify right side
    361,597.60x = 100,013,223,005.76
  5. Step 5: Solve for x
    x = 100,013,223,005.76/361,597.60
  6. Step 6: Final answer
    x = 276,587.08

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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.