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Finding the Fourth Proportional to 598,424.16, 825,898.44 and 343,774.80

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Solution

The fourth proportional to 598,424.16, 825,898.44 and 343,774.80 is: 474,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,424.16 : 825,898.44 = 343,774.80 : x
  2. Step 2: Convert to fraction form
    598,424.16/825,898.44 = 343,774.80/x
  3. Step 3: Cross multiply
    598,424.16x = 825,898.44 × 343,774.80
  4. Step 4: Simplify right side
    598,424.16x = 283,923,071,031.31
  5. Step 5: Solve for x
    x = 283,923,071,031.31/598,424.16
  6. Step 6: Final answer
    x = 474,451.22

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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.