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Finding the Fourth Proportional to 413,691.57, 570,909.21 and 232,399.59

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Solution

The fourth proportional to 413,691.57, 570,909.21 and 232,399.59 is: 320,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,691.57 : 570,909.21 = 232,399.59 : x
  2. Step 2: Convert to fraction form
    413,691.57/570,909.21 = 232,399.59/x
  3. Step 3: Cross multiply
    413,691.57x = 570,909.21 × 232,399.59
  4. Step 4: Simplify right side
    413,691.57x = 132,679,066,331.22
  5. Step 5: Solve for x
    x = 132,679,066,331.22/413,691.57
  6. Step 6: Final answer
    x = 320,719.77

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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.