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Finding the Fourth Proportional to 313,264.38, 470,094.24 and 133,349.52

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Solution

The fourth proportional to 313,264.38, 470,094.24 and 133,349.52 is: 200,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,264.38 : 470,094.24 = 133,349.52 : x
  2. Step 2: Convert to fraction form
    313,264.38/470,094.24 = 133,349.52/x
  3. Step 3: Cross multiply
    313,264.38x = 470,094.24 × 133,349.52
  4. Step 4: Simplify right side
    313,264.38x = 62,686,841,258.76
  5. Step 5: Solve for x
    x = 62,686,841,258.76/313,264.38
  6. Step 6: Final answer
    x = 200,108.42

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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.