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Finding the Fourth Proportional to 583,589.76, 875,461.20 and 228,557.64

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Solution

The fourth proportional to 583,589.76, 875,461.20 and 228,557.64 is: 342,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,589.76 : 875,461.20 = 228,557.64 : x
  2. Step 2: Convert to fraction form
    583,589.76/875,461.20 = 228,557.64/x
  3. Step 3: Cross multiply
    583,589.76x = 875,461.20 × 228,557.64
  4. Step 4: Simplify right side
    583,589.76x = 200,093,345,783.57
  5. Step 5: Solve for x
    x = 200,093,345,783.57/583,589.76
  6. Step 6: Final answer
    x = 342,866.44

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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.