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Finding the Fourth Proportional to 410,312.52, 566,241.93 and 229,023.54

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Solution

The fourth proportional to 410,312.52, 566,241.93 and 229,023.54 is: 316,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,312.52 : 566,241.93 = 229,023.54 : x
  2. Step 2: Convert to fraction form
    410,312.52/566,241.93 = 229,023.54/x
  3. Step 3: Cross multiply
    410,312.52x = 566,241.93 × 229,023.54
  4. Step 4: Simplify right side
    410,312.52x = 129,682,731,305.03
  5. Step 5: Solve for x
    x = 129,682,731,305.03/410,312.52
  6. Step 6: Final answer
    x = 316,058.43

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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.