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Finding the Fourth Proportional to 409,630.60, 614,532.30 and 172,851.40

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Solution

The fourth proportional to 409,630.60, 614,532.30 and 172,851.40 is: 259,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,630.60 : 614,532.30 = 172,851.40 : x
  2. Step 2: Convert to fraction form
    409,630.60/614,532.30 = 172,851.40/x
  3. Step 3: Cross multiply
    409,630.60x = 614,532.30 × 172,851.40
  4. Step 4: Simplify right side
    409,630.60x = 106,222,768,400.22
  5. Step 5: Solve for x
    x = 106,222,768,400.22/409,630.60
  6. Step 6: Final answer
    x = 259,313.56

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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.