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Finding the Fourth Proportional to 308,133.60, 462,200.40 and 174,962.40

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Solution

The fourth proportional to 308,133.60, 462,200.40 and 174,962.40 is: 262,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,133.60 : 462,200.40 = 174,962.40 : x
  2. Step 2: Convert to fraction form
    308,133.60/462,200.40 = 174,962.40/x
  3. Step 3: Cross multiply
    308,133.60x = 462,200.40 × 174,962.40
  4. Step 4: Simplify right side
    308,133.60x = 80,867,691,264.96
  5. Step 5: Solve for x
    x = 80,867,691,264.96/308,133.60
  6. Step 6: Final answer
    x = 262,443.60

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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.