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Finding the Fourth Proportional to 413,343.91, 570,375.19 and 232,014.28

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Solution

The fourth proportional to 413,343.91, 570,375.19 and 232,014.28 is: 320,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,343.91 : 570,375.19 = 232,014.28 : x
  2. Step 2: Convert to fraction form
    413,343.91/570,375.19 = 232,014.28/x
  3. Step 3: Cross multiply
    413,343.91x = 570,375.19 × 232,014.28
  4. Step 4: Simplify right side
    413,343.91x = 132,335,189,037.71
  5. Step 5: Solve for x
    x = 132,335,189,037.71/413,343.91
  6. Step 6: Final answer
    x = 320,157.59

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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.