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Finding the Fourth Proportional to 564,963.54, 847,561.95 and 165,617.34

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Solution

The fourth proportional to 564,963.54, 847,561.95 and 165,617.34 is: 248,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,963.54 : 847,561.95 = 165,617.34 : x
  2. Step 2: Convert to fraction form
    564,963.54/847,561.95 = 165,617.34/x
  3. Step 3: Cross multiply
    564,963.54x = 847,561.95 × 165,617.34
  4. Step 4: Simplify right side
    564,963.54x = 140,370,955,644.21
  5. Step 5: Solve for x
    x = 140,370,955,644.21/564,963.54
  6. Step 6: Final answer
    x = 248,460.20

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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.