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Finding the Fourth Proportional to 316,061.73, 473,993.78 and 105,650.46

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Solution

The fourth proportional to 316,061.73, 473,993.78 and 105,650.46 is: 158,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,061.73 : 473,993.78 = 105,650.46 : x
  2. Step 2: Convert to fraction form
    316,061.73/473,993.78 = 105,650.46/x
  3. Step 3: Cross multiply
    316,061.73x = 473,993.78 × 105,650.46
  4. Step 4: Simplify right side
    316,061.73x = 50,077,660,365.89
  5. Step 5: Solve for x
    x = 50,077,660,365.89/316,061.73
  6. Step 6: Final answer
    x = 158,442.66

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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.