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Finding the Fourth Proportional to 402,253.82, 554,951.52 and 259,096.84

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Solution

The fourth proportional to 402,253.82, 554,951.52 and 259,096.84 is: 357,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,253.82 : 554,951.52 = 259,096.84 : x
  2. Step 2: Convert to fraction form
    402,253.82/554,951.52 = 259,096.84/x
  3. Step 3: Cross multiply
    402,253.82x = 554,951.52 × 259,096.84
  4. Step 4: Simplify right side
    402,253.82x = 143,786,185,185.20
  5. Step 5: Solve for x
    x = 143,786,185,185.20/402,253.82
  6. Step 6: Final answer
    x = 357,451.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.