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Finding the Fourth Proportional to 315,737.85, 473,275.96 and 147,119.16

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Solution

The fourth proportional to 315,737.85, 473,275.96 and 147,119.16 is: 220,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,737.85 : 473,275.96 = 147,119.16 : x
  2. Step 2: Convert to fraction form
    315,737.85/473,275.96 = 147,119.16/x
  3. Step 3: Cross multiply
    315,737.85x = 473,275.96 × 147,119.16
  4. Step 4: Simplify right side
    315,737.85x = 69,627,961,315.60
  5. Step 5: Solve for x
    x = 69,627,961,315.60/315,737.85
  6. Step 6: Final answer
    x = 220,524.59

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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.