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Finding the Fourth Proportional to 564,900.48, 847,235.76 and 165,433.92

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Solution

The fourth proportional to 564,900.48, 847,235.76 and 165,433.92 is: 248,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,900.48 : 847,235.76 = 165,433.92 : x
  2. Step 2: Convert to fraction form
    564,900.48/847,235.76 = 165,433.92/x
  3. Step 3: Cross multiply
    564,900.48x = 847,235.76 × 165,433.92
  4. Step 4: Simplify right side
    564,900.48x = 140,161,532,940.98
  5. Step 5: Solve for x
    x = 140,161,532,940.98/564,900.48
  6. Step 6: Final answer
    x = 248,117.21

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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.