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Finding the Fourth Proportional to 587,128.68, 880,560.54 and 271,413

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Solution

The fourth proportional to 587,128.68, 880,560.54 and 271,413 is: 407,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,128.68 : 880,560.54 = 271,413 : x
  2. Step 2: Convert to fraction form
    587,128.68/880,560.54 = 271,413/x
  3. Step 3: Cross multiply
    587,128.68x = 880,560.54 × 271,413
  4. Step 4: Simplify right side
    587,128.68x = 238,995,577,843.02
  5. Step 5: Solve for x
    x = 238,995,577,843.02/587,128.68
  6. Step 6: Final answer
    x = 407,058.26

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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.