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Finding the Fourth Proportional to 580,102.15, 870,176.82 and 276,340.16

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Solution

The fourth proportional to 580,102.15, 870,176.82 and 276,340.16 is: 414,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,102.15 : 870,176.82 = 276,340.16 : x
  2. Step 2: Convert to fraction form
    580,102.15/870,176.82 = 276,340.16/x
  3. Step 3: Cross multiply
    580,102.15x = 870,176.82 × 276,340.16
  4. Step 4: Simplify right side
    580,102.15x = 240,464,801,667.09
  5. Step 5: Solve for x
    x = 240,464,801,667.09/580,102.15
  6. Step 6: Final answer
    x = 414,521.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.