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Finding the Fourth Proportional to 537,814.42, 806,728.11 and 163,840.66

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Solution

The fourth proportional to 537,814.42, 806,728.11 and 163,840.66 is: 245,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,814.42 : 806,728.11 = 163,840.66 : x
  2. Step 2: Convert to fraction form
    537,814.42/806,728.11 = 163,840.66/x
  3. Step 3: Cross multiply
    537,814.42x = 806,728.11 × 163,840.66
  4. Step 4: Simplify right side
    537,814.42x = 132,174,865,982.95
  5. Step 5: Solve for x
    x = 132,174,865,982.95/537,814.42
  6. Step 6: Final answer
    x = 245,762.96

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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.