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Finding the Fourth Proportional to 413,494.28, 570,589.62 and 234,646.28

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Solution

The fourth proportional to 413,494.28, 570,589.62 and 234,646.28 is: 323,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,494.28 : 570,589.62 = 234,646.28 : x
  2. Step 2: Convert to fraction form
    413,494.28/570,589.62 = 234,646.28/x
  3. Step 3: Cross multiply
    413,494.28x = 570,589.62 × 234,646.28
  4. Step 4: Simplify right side
    413,494.28x = 133,886,731,739.61
  5. Step 5: Solve for x
    x = 133,886,731,739.61/413,494.28
  6. Step 6: Final answer
    x = 323,793.43

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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.