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Finding the Fourth Proportional to 301,497.56, 416,045.78 and 167,351

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Solution

The fourth proportional to 301,497.56, 416,045.78 and 167,351 is: 230,932.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,497.56 : 416,045.78 = 167,351 : x
  2. Step 2: Convert to fraction form
    301,497.56/416,045.78 = 167,351/x
  3. Step 3: Cross multiply
    301,497.56x = 416,045.78 × 167,351
  4. Step 4: Simplify right side
    301,497.56x = 69,625,677,328.78
  5. Step 5: Solve for x
    x = 69,625,677,328.78/301,497.56
  6. Step 6: Final answer
    x = 230,932.81

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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.