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Finding the Fourth Proportional to 564,881.04, 847,438.20 and 165,534.84

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Solution

The fourth proportional to 564,881.04, 847,438.20 and 165,534.84 is: 248,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,881.04 : 847,438.20 = 165,534.84 : x
  2. Step 2: Convert to fraction form
    564,881.04/847,438.20 = 165,534.84/x
  3. Step 3: Cross multiply
    564,881.04x = 847,438.20 × 165,534.84
  4. Step 4: Simplify right side
    564,881.04x = 140,280,546,846.89
  5. Step 5: Solve for x
    x = 140,280,546,846.89/564,881.04
  6. Step 6: Final answer
    x = 248,336.44

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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.