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Finding the Fourth Proportional to 232,308.40, 348,462.60 and 185,652.40

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Solution

The fourth proportional to 232,308.40, 348,462.60 and 185,652.40 is: 278,478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,308.40 : 348,462.60 = 185,652.40 : x
  2. Step 2: Convert to fraction form
    232,308.40/348,462.60 = 185,652.40/x
  3. Step 3: Cross multiply
    232,308.40x = 348,462.60 × 185,652.40
  4. Step 4: Simplify right side
    232,308.40x = 64,692,918,000.24
  5. Step 5: Solve for x
    x = 64,692,918,000.24/232,308.40
  6. Step 6: Final answer
    x = 278,478.60

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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.