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Finding the Fourth Proportional to 522,774.46, 784,263.80 and 167,761.18

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Solution

The fourth proportional to 522,774.46, 784,263.80 and 167,761.18 is: 251,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,774.46 : 784,263.80 = 167,761.18 : x
  2. Step 2: Convert to fraction form
    522,774.46/784,263.80 = 167,761.18/x
  3. Step 3: Cross multiply
    522,774.46x = 784,263.80 × 167,761.18
  4. Step 4: Simplify right side
    522,774.46x = 131,569,020,519.28
  5. Step 5: Solve for x
    x = 131,569,020,519.28/522,774.46
  6. Step 6: Final answer
    x = 251,674.54

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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.