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Finding the Fourth Proportional to 412,832.32, 619,242.87 and 113,312.50

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Solution

The fourth proportional to 412,832.32, 619,242.87 and 113,312.50 is: 169,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,832.32 : 619,242.87 = 113,312.50 : x
  2. Step 2: Convert to fraction form
    412,832.32/619,242.87 = 113,312.50/x
  3. Step 3: Cross multiply
    412,832.32x = 619,242.87 × 113,312.50
  4. Step 4: Simplify right side
    412,832.32x = 70,167,957,706.88
  5. Step 5: Solve for x
    x = 70,167,957,706.88/412,832.32
  6. Step 6: Final answer
    x = 169,967.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.