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Finding the Fourth Proportional to 301,516.64, 416,062.14 and 174,233.24

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Solution

The fourth proportional to 301,516.64, 416,062.14 and 174,233.24 is: 240,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,516.64 : 416,062.14 = 174,233.24 : x
  2. Step 2: Convert to fraction form
    301,516.64/416,062.14 = 174,233.24/x
  3. Step 3: Cross multiply
    301,516.64x = 416,062.14 × 174,233.24
  4. Step 4: Simplify right side
    301,516.64x = 72,491,854,693.53
  5. Step 5: Solve for x
    x = 72,491,854,693.53/301,516.64
  6. Step 6: Final answer
    x = 240,424.06

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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.