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Finding the Fourth Proportional to 410,018.20, 615,027.30 and 232,871.20

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Solution

The fourth proportional to 410,018.20, 615,027.30 and 232,871.20 is: 349,306.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,018.20 : 615,027.30 = 232,871.20 : x
  2. Step 2: Convert to fraction form
    410,018.20/615,027.30 = 232,871.20/x
  3. Step 3: Cross multiply
    410,018.20x = 615,027.30 × 232,871.20
  4. Step 4: Simplify right side
    410,018.20x = 143,222,145,383.76
  5. Step 5: Solve for x
    x = 143,222,145,383.76/410,018.20
  6. Step 6: Final answer
    x = 349,306.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.