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Finding the Fourth Proportional to 329,851.20, 462,724.80 and 329,851.20

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Solution

The fourth proportional to 329,851.20, 462,724.80 and 329,851.20 is: 462,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,851.20 : 462,724.80 = 329,851.20 : x
  2. Step 2: Convert to fraction form
    329,851.20/462,724.80 = 329,851.20/x
  3. Step 3: Cross multiply
    329,851.20x = 462,724.80 × 329,851.20
  4. Step 4: Simplify right side
    329,851.20x = 152,630,330,549.76
  5. Step 5: Solve for x
    x = 152,630,330,549.76/329,851.20
  6. Step 6: Final answer
    x = 462,724.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.