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Finding the Fourth Proportional to 338,965.34, 508,255.31 and 262,001.10

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Solution

The fourth proportional to 338,965.34, 508,255.31 and 262,001.10 is: 392,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,965.34 : 508,255.31 = 262,001.10 : x
  2. Step 2: Convert to fraction form
    338,965.34/508,255.31 = 262,001.10/x
  3. Step 3: Cross multiply
    338,965.34x = 508,255.31 × 262,001.10
  4. Step 4: Simplify right side
    338,965.34x = 133,163,448,990.84
  5. Step 5: Solve for x
    x = 133,163,448,990.84/338,965.34
  6. Step 6: Final answer
    x = 392,852.71

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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.