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Finding the Fourth Proportional to 314,351.57, 471,527.50 and 103,989.50

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Solution

The fourth proportional to 314,351.57, 471,527.50 and 103,989.50 is: 155,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,351.57 : 471,527.50 = 103,989.50 : x
  2. Step 2: Convert to fraction form
    314,351.57/471,527.50 = 103,989.50/x
  3. Step 3: Cross multiply
    314,351.57x = 471,527.50 × 103,989.50
  4. Step 4: Simplify right side
    314,351.57x = 49,033,910,270.06
  5. Step 5: Solve for x
    x = 49,033,910,270.06/314,351.57
  6. Step 6: Final answer
    x = 155,984.30

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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.