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Finding the Fourth Proportional to 301,588.68, 416,007.18 and 216,819.48

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Solution

The fourth proportional to 301,588.68, 416,007.18 and 216,819.48 is: 299,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,588.68 : 416,007.18 = 216,819.48 : x
  2. Step 2: Convert to fraction form
    301,588.68/416,007.18 = 216,819.48/x
  3. Step 3: Cross multiply
    301,588.68x = 416,007.18 × 216,819.48
  4. Step 4: Simplify right side
    301,588.68x = 90,198,460,443.87
  5. Step 5: Solve for x
    x = 90,198,460,443.87/301,588.68
  6. Step 6: Final answer
    x = 299,077.74

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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.