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Finding the Fourth Proportional to 412,470.36, 569,083.76 and 259,661.09

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Solution

The fourth proportional to 412,470.36, 569,083.76 and 259,661.09 is: 358,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,470.36 : 569,083.76 = 259,661.09 : x
  2. Step 2: Convert to fraction form
    412,470.36/569,083.76 = 259,661.09/x
  3. Step 3: Cross multiply
    412,470.36x = 569,083.76 × 259,661.09
  4. Step 4: Simplify right side
    412,470.36x = 147,768,910,521.03
  5. Step 5: Solve for x
    x = 147,768,910,521.03/412,470.36
  6. Step 6: Final answer
    x = 358,253.40

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