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Finding the Fourth Proportional to 314,449.57, 471,748.16 and 104,087.50

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Solution

The fourth proportional to 314,449.57, 471,748.16 and 104,087.50 is: 156,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,449.57 : 471,748.16 = 104,087.50 : x
  2. Step 2: Convert to fraction form
    314,449.57/471,748.16 = 104,087.50/x
  3. Step 3: Cross multiply
    314,449.57x = 471,748.16 × 104,087.50
  4. Step 4: Simplify right side
    314,449.57x = 49,103,086,604
  5. Step 5: Solve for x
    x = 49,103,086,604/314,449.57
  6. Step 6: Final answer
    x = 156,155.68

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Why These Related Problems?

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