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Finding the Fourth Proportional to 301,716.16, 416,309.38 and 172,694.10

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Solution

The fourth proportional to 301,716.16, 416,309.38 and 172,694.10 is: 238,284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,716.16 : 416,309.38 = 172,694.10 : x
  2. Step 2: Convert to fraction form
    301,716.16/416,309.38 = 172,694.10/x
  3. Step 3: Cross multiply
    301,716.16x = 416,309.38 × 172,694.10
  4. Step 4: Simplify right side
    301,716.16x = 71,894,173,700.66
  5. Step 5: Solve for x
    x = 71,894,173,700.66/301,716.16
  6. Step 6: Final answer
    x = 238,284.13

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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.