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Finding the Fourth Proportional to 564,884.22, 847,469.76 and 261,497.10

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Solution

The fourth proportional to 564,884.22, 847,469.76 and 261,497.10 is: 392,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,884.22 : 847,469.76 = 261,497.10 : x
  2. Step 2: Convert to fraction form
    564,884.22/847,469.76 = 261,497.10/x
  3. Step 3: Cross multiply
    564,884.22x = 847,469.76 × 261,497.10
  4. Step 4: Simplify right side
    564,884.22x = 221,610,886,775.09
  5. Step 5: Solve for x
    x = 221,610,886,775.09/564,884.22
  6. Step 6: Final answer
    x = 392,312.05

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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.