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Finding the Fourth Proportional to 413,244.15, 570,334.49 and 229,524

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Solution

The fourth proportional to 413,244.15, 570,334.49 and 229,524 is: 316,775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,244.15 : 570,334.49 = 229,524 : x
  2. Step 2: Convert to fraction form
    413,244.15/570,334.49 = 229,524/x
  3. Step 3: Cross multiply
    413,244.15x = 570,334.49 × 229,524
  4. Step 4: Simplify right side
    413,244.15x = 130,905,452,335.14
  5. Step 5: Solve for x
    x = 130,905,452,335.14/413,244.15
  6. Step 6: Final answer
    x = 316,775.09

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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.