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Finding the Fourth Proportional to 315,072.70, 472,177.05 and 202,407.10

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Solution

The fourth proportional to 315,072.70, 472,177.05 and 202,407.10 is: 303,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,072.70 : 472,177.05 = 202,407.10 : x
  2. Step 2: Convert to fraction form
    315,072.70/472,177.05 = 202,407.10/x
  3. Step 3: Cross multiply
    315,072.70x = 472,177.05 × 202,407.10
  4. Step 4: Simplify right side
    315,072.70x = 95,571,987,377.06
  5. Step 5: Solve for x
    x = 95,571,987,377.06/315,072.70
  6. Step 6: Final answer
    x = 303,333.13

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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.