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Finding the Fourth Proportional to 234,645.60, 323,997.36 and 216,734.16

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Solution

The fourth proportional to 234,645.60, 323,997.36 and 216,734.16 is: 299,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,645.60 : 323,997.36 = 216,734.16 : x
  2. Step 2: Convert to fraction form
    234,645.60/323,997.36 = 216,734.16/x
  3. Step 3: Cross multiply
    234,645.60x = 323,997.36 × 216,734.16
  4. Step 4: Simplify right side
    234,645.60x = 70,221,295,661.82
  5. Step 5: Solve for x
    x = 70,221,295,661.82/234,645.60
  6. Step 6: Final answer
    x = 299,265.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.