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Finding the Fourth Proportional to 315,366.96, 473,211.72 and 149,110.32

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Solution

The fourth proportional to 315,366.96, 473,211.72 and 149,110.32 is: 223,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,366.96 : 473,211.72 = 149,110.32 : x
  2. Step 2: Convert to fraction form
    315,366.96/473,211.72 = 149,110.32/x
  3. Step 3: Cross multiply
    315,366.96x = 473,211.72 × 149,110.32
  4. Step 4: Simplify right side
    315,366.96x = 70,560,750,996.95
  5. Step 5: Solve for x
    x = 70,560,750,996.95/315,366.96
  6. Step 6: Final answer
    x = 223,741.74

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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.