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Finding the Fourth Proportional to 583,924.60, 876,117.30 and 228,878.20

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Solution

The fourth proportional to 583,924.60, 876,117.30 and 228,878.20 is: 343,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,924.60 : 876,117.30 = 228,878.20 : x
  2. Step 2: Convert to fraction form
    583,924.60/876,117.30 = 228,878.20/x
  3. Step 3: Cross multiply
    583,924.60x = 876,117.30 × 228,878.20
  4. Step 4: Simplify right side
    583,924.60x = 200,524,150,612.86
  5. Step 5: Solve for x
    x = 200,524,150,612.86/583,924.60
  6. Step 6: Final answer
    x = 343,407.61

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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.