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Finding the Fourth Proportional to 314,474.34, 471,715.62 and 89,842.10

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Solution

The fourth proportional to 314,474.34, 471,715.62 and 89,842.10 is: 134,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,474.34 : 471,715.62 = 89,842.10 : x
  2. Step 2: Convert to fraction form
    314,474.34/471,715.62 = 89,842.10/x
  3. Step 3: Cross multiply
    314,474.34x = 471,715.62 × 89,842.10
  4. Step 4: Simplify right side
    314,474.34x = 42,379,921,903.60
  5. Step 5: Solve for x
    x = 42,379,921,903.60/314,474.34
  6. Step 6: Final answer
    x = 134,764.32

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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.