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Finding the Fourth Proportional to 301,591.68, 416,011.32 and 216,822.48

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Solution

The fourth proportional to 301,591.68, 416,011.32 and 216,822.48 is: 299,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,591.68 : 416,011.32 = 216,822.48 : x
  2. Step 2: Convert to fraction form
    301,591.68/416,011.32 = 216,822.48/x
  3. Step 3: Cross multiply
    301,591.68x = 416,011.32 × 216,822.48
  4. Step 4: Simplify right side
    301,591.68x = 90,200,606,110.47
  5. Step 5: Solve for x
    x = 90,200,606,110.47/301,591.68
  6. Step 6: Final answer
    x = 299,081.88

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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.