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Finding the Fourth Proportional to 413,686.32, 570,853.48 and 232,388.40

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Solution

The fourth proportional to 413,686.32, 570,853.48 and 232,388.40 is: 320,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,686.32 : 570,853.48 = 232,388.40 : x
  2. Step 2: Convert to fraction form
    413,686.32/570,853.48 = 232,388.40/x
  3. Step 3: Cross multiply
    413,686.32x = 570,853.48 × 232,388.40
  4. Step 4: Simplify right side
    413,686.32x = 132,659,726,851.63
  5. Step 5: Solve for x
    x = 132,659,726,851.63/413,686.32
  6. Step 6: Final answer
    x = 320,677.09

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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.