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Finding the Fourth Proportional to 584,546.32, 876,292.92 and 210,306

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Solution

The fourth proportional to 584,546.32, 876,292.92 and 210,306 is: 315,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,546.32 : 876,292.92 = 210,306 : x
  2. Step 2: Convert to fraction form
    584,546.32/876,292.92 = 210,306/x
  3. Step 3: Cross multiply
    584,546.32x = 876,292.92 × 210,306
  4. Step 4: Simplify right side
    584,546.32x = 184,289,658,833.52
  5. Step 5: Solve for x
    x = 184,289,658,833.52/584,546.32
  6. Step 6: Final answer
    x = 315,269.56

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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.