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Finding the Fourth Proportional to 295,641.12, 407,984.46 and 159,675.06

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Solution

The fourth proportional to 295,641.12, 407,984.46 and 159,675.06 is: 220,351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,641.12 : 407,984.46 = 159,675.06 : x
  2. Step 2: Convert to fraction form
    295,641.12/407,984.46 = 159,675.06/x
  3. Step 3: Cross multiply
    295,641.12x = 407,984.46 × 159,675.06
  4. Step 4: Simplify right side
    295,641.12x = 65,144,943,129.57
  5. Step 5: Solve for x
    x = 65,144,943,129.57/295,641.12
  6. Step 6: Final answer
    x = 220,351.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.