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Finding the Fourth Proportional to 583,439.94, 874,634.67 and 209,375.46

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Solution

The fourth proportional to 583,439.94, 874,634.67 and 209,375.46 is: 313,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,439.94 : 874,634.67 = 209,375.46 : x
  2. Step 2: Convert to fraction form
    583,439.94/874,634.67 = 209,375.46/x
  3. Step 3: Cross multiply
    583,439.94x = 874,634.67 × 209,375.46
  4. Step 4: Simplify right side
    583,439.94x = 183,127,036,363.20
  5. Step 5: Solve for x
    x = 183,127,036,363.20/583,439.94
  6. Step 6: Final answer
    x = 313,874.70

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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.