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Finding the Fourth Proportional to 432,581.22, 596,118.81 and 311,493.86

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Solution

The fourth proportional to 432,581.22, 596,118.81 and 311,493.86 is: 429,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,581.22 : 596,118.81 = 311,493.86 : x
  2. Step 2: Convert to fraction form
    432,581.22/596,118.81 = 311,493.86/x
  3. Step 3: Cross multiply
    432,581.22x = 596,118.81 × 311,493.86
  4. Step 4: Simplify right side
    432,581.22x = 185,687,346,164.91
  5. Step 5: Solve for x
    x = 185,687,346,164.91/432,581.22
  6. Step 6: Final answer
    x = 429,254.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.