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Finding the Fourth Proportional to 338,496.84, 467,106.63 and 185,505.87

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Solution

The fourth proportional to 338,496.84, 467,106.63 and 185,505.87 is: 255,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,496.84 : 467,106.63 = 185,505.87 : x
  2. Step 2: Convert to fraction form
    338,496.84/467,106.63 = 185,505.87/x
  3. Step 3: Cross multiply
    338,496.84x = 467,106.63 × 185,505.87
  4. Step 4: Simplify right side
    338,496.84x = 86,651,021,780.92
  5. Step 5: Solve for x
    x = 86,651,021,780.92/338,496.84
  6. Step 6: Final answer
    x = 255,987.68

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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.