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Finding the Fourth Proportional to 595,261.92, 893,480.94 and 311,233.80

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Solution

The fourth proportional to 595,261.92, 893,480.94 and 311,233.80 is: 467,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,261.92 : 893,480.94 = 311,233.80 : x
  2. Step 2: Convert to fraction form
    595,261.92/893,480.94 = 311,233.80/x
  3. Step 3: Cross multiply
    595,261.92x = 893,480.94 × 311,233.80
  4. Step 4: Simplify right side
    595,261.92x = 278,081,468,183.77
  5. Step 5: Solve for x
    x = 278,081,468,183.77/595,261.92
  6. Step 6: Final answer
    x = 467,158.17

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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.