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Finding the Fourth Proportional to 313,420.38, 432,189.45 and 222,681.84

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Solution

The fourth proportional to 313,420.38, 432,189.45 and 222,681.84 is: 307,066.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,420.38 : 432,189.45 = 222,681.84 : x
  2. Step 2: Convert to fraction form
    313,420.38/432,189.45 = 222,681.84/x
  3. Step 3: Cross multiply
    313,420.38x = 432,189.45 × 222,681.84
  4. Step 4: Simplify right side
    313,420.38x = 96,240,741,954.59
  5. Step 5: Solve for x
    x = 96,240,741,954.59/313,420.38
  6. Step 6: Final answer
    x = 307,066.00

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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.