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Finding the Fourth Proportional to 474,006.89, 654,129.38 and 259,146.90

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Solution

The fourth proportional to 474,006.89, 654,129.38 and 259,146.90 is: 357,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,006.89 : 654,129.38 = 259,146.90 : x
  2. Step 2: Convert to fraction form
    474,006.89/654,129.38 = 259,146.90/x
  3. Step 3: Cross multiply
    474,006.89x = 654,129.38 × 259,146.90
  4. Step 4: Simplify right side
    474,006.89x = 169,515,599,730.19
  5. Step 5: Solve for x
    x = 169,515,599,730.19/474,006.89
  6. Step 6: Final answer
    x = 357,622.65

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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.