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Finding the Fourth Proportional to 402,251.82, 554,948.76 and 259,094.84

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Solution

The fourth proportional to 402,251.82, 554,948.76 and 259,094.84 is: 357,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,251.82 : 554,948.76 = 259,094.84 : x
  2. Step 2: Convert to fraction form
    402,251.82/554,948.76 = 259,094.84/x
  3. Step 3: Cross multiply
    402,251.82x = 554,948.76 × 259,094.84
  4. Step 4: Simplify right side
    402,251.82x = 143,784,360,180.40
  5. Step 5: Solve for x
    x = 143,784,360,180.40/402,251.82
  6. Step 6: Final answer
    x = 357,448.63

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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.