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Finding the Fourth Proportional to 314,865.78, 472,189.28 and 104,454.50

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Solution

The fourth proportional to 314,865.78, 472,189.28 and 104,454.50 is: 156,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,865.78 : 472,189.28 = 104,454.50 : x
  2. Step 2: Convert to fraction form
    314,865.78/472,189.28 = 104,454.50/x
  3. Step 3: Cross multiply
    314,865.78x = 472,189.28 × 104,454.50
  4. Step 4: Simplify right side
    314,865.78x = 49,322,295,147.76
  5. Step 5: Solve for x
    x = 49,322,295,147.76/314,865.78
  6. Step 6: Final answer
    x = 156,645.46

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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.