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Finding the Fourth Proportional to 329,460.90, 493,207.20 and 196,272.60

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Solution

The fourth proportional to 329,460.90, 493,207.20 and 196,272.60 is: 293,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,460.90 : 493,207.20 = 196,272.60 : x
  2. Step 2: Convert to fraction form
    329,460.90/493,207.20 = 196,272.60/x
  3. Step 3: Cross multiply
    329,460.90x = 493,207.20 × 196,272.60
  4. Step 4: Simplify right side
    329,460.90x = 96,803,059,482.72
  5. Step 5: Solve for x
    x = 96,803,059,482.72/329,460.90
  6. Step 6: Final answer
    x = 293,822.60

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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.