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Finding the Fourth Proportional to 412,820.64, 569,450.54 and 259,615.82

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Solution

The fourth proportional to 412,820.64, 569,450.54 and 259,615.82 is: 358,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,820.64 : 569,450.54 = 259,615.82 : x
  2. Step 2: Convert to fraction form
    412,820.64/569,450.54 = 259,615.82/x
  3. Step 3: Cross multiply
    412,820.64x = 569,450.54 × 259,615.82
  4. Step 4: Simplify right side
    412,820.64x = 147,838,368,891.54
  5. Step 5: Solve for x
    x = 147,838,368,891.54/412,820.64
  6. Step 6: Final answer
    x = 358,117.68

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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.