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Finding the Fourth Proportional to 578,809.60, 867,922.80 and 342,224.80

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Solution

The fourth proportional to 578,809.60, 867,922.80 and 342,224.80 is: 513,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,809.60 : 867,922.80 = 342,224.80 : x
  2. Step 2: Convert to fraction form
    578,809.60/867,922.80 = 342,224.80/x
  3. Step 3: Cross multiply
    578,809.60x = 867,922.80 × 342,224.80
  4. Step 4: Simplify right side
    578,809.60x = 297,024,706,645.44
  5. Step 5: Solve for x
    x = 297,024,706,645.44/578,809.60
  6. Step 6: Final answer
    x = 513,164.79

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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.