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Finding the Fourth Proportional to 313,460.28, 432,870.42 and 218,227.38

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Solution

The fourth proportional to 313,460.28, 432,870.42 and 218,227.38 is: 301,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,460.28 : 432,870.42 = 218,227.38 : x
  2. Step 2: Convert to fraction form
    313,460.28/432,870.42 = 218,227.38/x
  3. Step 3: Cross multiply
    313,460.28x = 432,870.42 × 218,227.38
  4. Step 4: Simplify right side
    313,460.28x = 94,464,177,636.10
  5. Step 5: Solve for x
    x = 94,464,177,636.10/313,460.28
  6. Step 6: Final answer
    x = 301,359.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.