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Finding the Fourth Proportional to 214,984.80, 322,477.20 and 185,460.30

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Solution

The fourth proportional to 214,984.80, 322,477.20 and 185,460.30 is: 278,190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,984.80 : 322,477.20 = 185,460.30 : x
  2. Step 2: Convert to fraction form
    214,984.80/322,477.20 = 185,460.30/x
  3. Step 3: Cross multiply
    214,984.80x = 322,477.20 × 185,460.30
  4. Step 4: Simplify right side
    214,984.80x = 59,806,718,255.16
  5. Step 5: Solve for x
    x = 59,806,718,255.16/214,984.80
  6. Step 6: Final answer
    x = 278,190.45

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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.