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Finding the Fourth Proportional to 268,447.80, 402,210.90 and 174,905.40

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Solution

The fourth proportional to 268,447.80, 402,210.90 and 174,905.40 is: 262,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,447.80 : 402,210.90 = 174,905.40 : x
  2. Step 2: Convert to fraction form
    268,447.80/402,210.90 = 174,905.40/x
  3. Step 3: Cross multiply
    268,447.80x = 402,210.90 × 174,905.40
  4. Step 4: Simplify right side
    268,447.80x = 70,348,858,348.86
  5. Step 5: Solve for x
    x = 70,348,858,348.86/268,447.80
  6. Step 6: Final answer
    x = 262,057.87

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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.