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Finding the Fourth Proportional to 564,353.94, 846,610.34 and 165,024.76

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Solution

The fourth proportional to 564,353.94, 846,610.34 and 165,024.76 is: 247,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,353.94 : 846,610.34 = 165,024.76 : x
  2. Step 2: Convert to fraction form
    564,353.94/846,610.34 = 165,024.76/x
  3. Step 3: Cross multiply
    564,353.94x = 846,610.34 × 165,024.76
  4. Step 4: Simplify right side
    564,353.94x = 139,711,668,172.02
  5. Step 5: Solve for x
    x = 139,711,668,172.02/564,353.94
  6. Step 6: Final answer
    x = 247,560.37

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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.