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Finding the Fourth Proportional to 308,055.60, 462,040.20 and 97,714.80

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Solution

The fourth proportional to 308,055.60, 462,040.20 and 97,714.80 is: 146,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,055.60 : 462,040.20 = 97,714.80 : x
  2. Step 2: Convert to fraction form
    308,055.60/462,040.20 = 97,714.80/x
  3. Step 3: Cross multiply
    308,055.60x = 462,040.20 × 97,714.80
  4. Step 4: Simplify right side
    308,055.60x = 45,148,165,734.96
  5. Step 5: Solve for x
    x = 45,148,165,734.96/308,055.60
  6. Step 6: Final answer
    x = 146,558.50

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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.