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Finding the Fourth Proportional to 578,043.20, 867,064.80 and 472,980.80

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Solution

The fourth proportional to 578,043.20, 867,064.80 and 472,980.80 is: 709,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,043.20 : 867,064.80 = 472,980.80 : x
  2. Step 2: Convert to fraction form
    578,043.20/867,064.80 = 472,980.80/x
  3. Step 3: Cross multiply
    578,043.20x = 867,064.80 × 472,980.80
  4. Step 4: Simplify right side
    578,043.20x = 410,105,002,755.84
  5. Step 5: Solve for x
    x = 410,105,002,755.84/578,043.20
  6. Step 6: Final answer
    x = 709,471.20

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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.