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Finding the Fourth Proportional to 391,271.76, 587,024.64 and 224,943.12

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Solution

The fourth proportional to 391,271.76, 587,024.64 and 224,943.12 is: 337,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,271.76 : 587,024.64 = 224,943.12 : x
  2. Step 2: Convert to fraction form
    391,271.76/587,024.64 = 224,943.12/x
  3. Step 3: Cross multiply
    391,271.76x = 587,024.64 × 224,943.12
  4. Step 4: Simplify right side
    391,271.76x = 132,047,154,038.48
  5. Step 5: Solve for x
    x = 132,047,154,038.48/391,271.76
  6. Step 6: Final answer
    x = 337,481.94

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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.