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Finding the Fourth Proportional to 315,211.20, 472,384.80 and 202,545.60

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Solution

The fourth proportional to 315,211.20, 472,384.80 and 202,545.60 is: 303,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,211.20 : 472,384.80 = 202,545.60 : x
  2. Step 2: Convert to fraction form
    315,211.20/472,384.80 = 202,545.60/x
  3. Step 3: Cross multiply
    315,211.20x = 472,384.80 × 202,545.60
  4. Step 4: Simplify right side
    315,211.20x = 95,679,462,746.88
  5. Step 5: Solve for x
    x = 95,679,462,746.88/315,211.20
  6. Step 6: Final answer
    x = 303,540.81

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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.