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Finding the Fourth Proportional to 432,777.85, 597,224.68 and 263,066.65

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Solution

The fourth proportional to 432,777.85, 597,224.68 and 263,066.65 is: 363,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,777.85 : 597,224.68 = 263,066.65 : x
  2. Step 2: Convert to fraction form
    432,777.85/597,224.68 = 263,066.65/x
  3. Step 3: Cross multiply
    432,777.85x = 597,224.68 × 263,066.65
  4. Step 4: Simplify right side
    432,777.85x = 157,109,895,864.92
  5. Step 5: Solve for x
    x = 157,109,895,864.92/432,777.85
  6. Step 6: Final answer
    x = 363,026.66

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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.