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Finding the Fourth Proportional to 349,091.60, 523,291.80 and 171,453.20

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Solution

The fourth proportional to 349,091.60, 523,291.80 and 171,453.20 is: 257,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,091.60 : 523,291.80 = 171,453.20 : x
  2. Step 2: Convert to fraction form
    349,091.60/523,291.80 = 171,453.20/x
  3. Step 3: Cross multiply
    349,091.60x = 523,291.80 × 171,453.20
  4. Step 4: Simplify right side
    349,091.60x = 89,720,053,643.76
  5. Step 5: Solve for x
    x = 89,720,053,643.76/349,091.60
  6. Step 6: Final answer
    x = 257,010.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.