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Finding the Fourth Proportional to 299,106.60, 447,566.40 and 220,374.60

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Solution

The fourth proportional to 299,106.60, 447,566.40 and 220,374.60 is: 329,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,106.60 : 447,566.40 = 220,374.60 : x
  2. Step 2: Convert to fraction form
    299,106.60/447,566.40 = 220,374.60/x
  3. Step 3: Cross multiply
    299,106.60x = 447,566.40 × 220,374.60
  4. Step 4: Simplify right side
    299,106.60x = 98,632,266,373.44
  5. Step 5: Solve for x
    x = 98,632,266,373.44/299,106.60
  6. Step 6: Final answer
    x = 329,756.24

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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.