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Finding the Fourth Proportional to 583,574.24, 875,010.90 and 228,164.78

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Solution

The fourth proportional to 583,574.24, 875,010.90 and 228,164.78 is: 342,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,574.24 : 875,010.90 = 228,164.78 : x
  2. Step 2: Convert to fraction form
    583,574.24/875,010.90 = 228,164.78/x
  3. Step 3: Cross multiply
    583,574.24x = 875,010.90 × 228,164.78
  4. Step 4: Simplify right side
    583,574.24x = 199,646,669,496.10
  5. Step 5: Solve for x
    x = 199,646,669,496.10/583,574.24
  6. Step 6: Final answer
    x = 342,110.15

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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.