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Finding the Fourth Proportional to 268,417.46, 402,330.94 and 110,559.80

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Solution

The fourth proportional to 268,417.46, 402,330.94 and 110,559.80 is: 165,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,417.46 : 402,330.94 = 110,559.80 : x
  2. Step 2: Convert to fraction form
    268,417.46/402,330.94 = 110,559.80/x
  3. Step 3: Cross multiply
    268,417.46x = 402,330.94 × 110,559.80
  4. Step 4: Simplify right side
    268,417.46x = 44,481,627,707.41
  5. Step 5: Solve for x
    x = 44,481,627,707.41/268,417.46
  6. Step 6: Final answer
    x = 165,718.09

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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.