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Finding the Fourth Proportional to 415,408.32, 573,267.15 and 234,085.50

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Solution

The fourth proportional to 415,408.32, 573,267.15 and 234,085.50 is: 323,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,408.32 : 573,267.15 = 234,085.50 : x
  2. Step 2: Convert to fraction form
    415,408.32/573,267.15 = 234,085.50/x
  3. Step 3: Cross multiply
    415,408.32x = 573,267.15 × 234,085.50
  4. Step 4: Simplify right side
    415,408.32x = 134,193,527,441.33
  5. Step 5: Solve for x
    x = 134,193,527,441.33/415,408.32
  6. Step 6: Final answer
    x = 323,040.06

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