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Finding the Fourth Proportional to 268,471.80, 402,246.90 and 174,929.40

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Solution

The fourth proportional to 268,471.80, 402,246.90 and 174,929.40 is: 262,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,471.80 : 402,246.90 = 174,929.40 : x
  2. Step 2: Convert to fraction form
    268,471.80/402,246.90 = 174,929.40/x
  3. Step 3: Cross multiply
    268,471.80x = 402,246.90 × 174,929.40
  4. Step 4: Simplify right side
    268,471.80x = 70,364,808,868.86
  5. Step 5: Solve for x
    x = 70,364,808,868.86/268,471.80
  6. Step 6: Final answer
    x = 262,093.85

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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.