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Finding the Fourth Proportional to 472,589.98, 651,805.56 and 302,839.90

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Solution

The fourth proportional to 472,589.98, 651,805.56 and 302,839.90 is: 417,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,589.98 : 651,805.56 = 302,839.90 : x
  2. Step 2: Convert to fraction form
    472,589.98/651,805.56 = 302,839.90/x
  3. Step 3: Cross multiply
    472,589.98x = 651,805.56 × 302,839.90
  4. Step 4: Simplify right side
    472,589.98x = 197,392,730,609.84
  5. Step 5: Solve for x
    x = 197,392,730,609.84/472,589.98
  6. Step 6: Final answer
    x = 417,682.85

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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.