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Finding the Fourth Proportional to 361,443.62, 498,793.35 and 200,301.32

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Solution

The fourth proportional to 361,443.62, 498,793.35 and 200,301.32 is: 276,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,443.62 : 498,793.35 = 200,301.32 : x
  2. Step 2: Convert to fraction form
    361,443.62/498,793.35 = 200,301.32/x
  3. Step 3: Cross multiply
    361,443.62x = 498,793.35 × 200,301.32
  4. Step 4: Simplify right side
    361,443.62x = 99,908,966,412.22
  5. Step 5: Solve for x
    x = 99,908,966,412.22/361,443.62
  6. Step 6: Final answer
    x = 276,416.46

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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.