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Finding the Fourth Proportional to 361,458.64, 498,790.26 and 200,304.28

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Solution

The fourth proportional to 361,458.64, 498,790.26 and 200,304.28 is: 276,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,458.64 : 498,790.26 = 200,304.28 : x
  2. Step 2: Convert to fraction form
    361,458.64/498,790.26 = 200,304.28/x
  3. Step 3: Cross multiply
    361,458.64x = 498,790.26 × 200,304.28
  4. Step 4: Simplify right side
    361,458.64x = 99,909,823,900.31
  5. Step 5: Solve for x
    x = 99,909,823,900.31/361,458.64
  6. Step 6: Final answer
    x = 276,407.35

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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.