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Finding the Fourth Proportional to 314,376.39, 433,772.15 and 187,027.11

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Solution

The fourth proportional to 314,376.39, 433,772.15 and 187,027.11 is: 258,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,376.39 : 433,772.15 = 187,027.11 : x
  2. Step 2: Convert to fraction form
    314,376.39/433,772.15 = 187,027.11/x
  3. Step 3: Cross multiply
    314,376.39x = 433,772.15 × 187,027.11
  4. Step 4: Simplify right side
    314,376.39x = 81,127,150,677.85
  5. Step 5: Solve for x
    x = 81,127,150,677.85/314,376.39
  6. Step 6: Final answer
    x = 258,057.39

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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.