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Finding the Fourth Proportional to 314,377.89, 433,774.22 and 187,028.61

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Solution

The fourth proportional to 314,377.89, 433,774.22 and 187,028.61 is: 258,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,377.89 : 433,774.22 = 187,028.61 : x
  2. Step 2: Convert to fraction form
    314,377.89/433,774.22 = 187,028.61/x
  3. Step 3: Cross multiply
    314,377.89x = 433,774.22 × 187,028.61
  4. Step 4: Simplify right side
    314,377.89x = 81,128,188,485.29
  5. Step 5: Solve for x
    x = 81,128,188,485.29/314,377.89
  6. Step 6: Final answer
    x = 258,059.46

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1.5x scale

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.