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Finding the Fourth Proportional to 306,064.52, 422,368.66 and 170,094.16

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Solution

The fourth proportional to 306,064.52, 422,368.66 and 170,094.16 is: 234,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,064.52 : 422,368.66 = 170,094.16 : x
  2. Step 2: Convert to fraction form
    306,064.52/422,368.66 = 170,094.16/x
  3. Step 3: Cross multiply
    306,064.52x = 422,368.66 × 170,094.16
  4. Step 4: Simplify right side
    306,064.52x = 71,842,442,433.03
  5. Step 5: Solve for x
    x = 71,842,442,433.03/306,064.52
  6. Step 6: Final answer
    x = 234,729.73

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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.