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Finding the Fourth Proportional to 338,740.42, 467,461.78 and 187,837.42

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Solution

The fourth proportional to 338,740.42, 467,461.78 and 187,837.42 is: 259,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,740.42 : 467,461.78 = 187,837.42 : x
  2. Step 2: Convert to fraction form
    338,740.42/467,461.78 = 187,837.42/x
  3. Step 3: Cross multiply
    338,740.42x = 467,461.78 × 187,837.42
  4. Step 4: Simplify right side
    338,740.42x = 87,806,814,703.81
  5. Step 5: Solve for x
    x = 87,806,814,703.81/338,740.42
  6. Step 6: Final answer
    x = 259,215.64

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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.