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Finding the Fourth Proportional to 583,840.92, 875,787.42 and 179,004

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Solution

The fourth proportional to 583,840.92, 875,787.42 and 179,004 is: 268,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,840.92 : 875,787.42 = 179,004 : x
  2. Step 2: Convert to fraction form
    583,840.92/875,787.42 = 179,004/x
  3. Step 3: Cross multiply
    583,840.92x = 875,787.42 × 179,004
  4. Step 4: Simplify right side
    583,840.92x = 156,769,451,329.68
  5. Step 5: Solve for x
    x = 156,769,451,329.68/583,840.92
  6. Step 6: Final answer
    x = 268,513.98

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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.