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Finding the Fourth Proportional to 583,876.80, 875,841.12 and 228,859.20

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Solution

The fourth proportional to 583,876.80, 875,841.12 and 228,859.20 is: 343,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,876.80 : 875,841.12 = 228,859.20 : x
  2. Step 2: Convert to fraction form
    583,876.80/875,841.12 = 228,859.20/x
  3. Step 3: Cross multiply
    583,876.80x = 875,841.12 × 228,859.20
  4. Step 4: Simplify right side
    583,876.80x = 200,444,298,050.30
  5. Step 5: Solve for x
    x = 200,444,298,050.30/583,876.80
  6. Step 6: Final answer
    x = 343,298.96

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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.