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Finding the Fourth Proportional to 578,074.40, 867,111.60 and 311,697.80

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Solution

The fourth proportional to 578,074.40, 867,111.60 and 311,697.80 is: 467,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,074.40 : 867,111.60 = 311,697.80 : x
  2. Step 2: Convert to fraction form
    578,074.40/867,111.60 = 311,697.80/x
  3. Step 3: Cross multiply
    578,074.40x = 867,111.60 × 311,697.80
  4. Step 4: Simplify right side
    578,074.40x = 270,276,778,074.48
  5. Step 5: Solve for x
    x = 270,276,778,074.48/578,074.40
  6. Step 6: Final answer
    x = 467,546.70

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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.