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Finding the Fourth Proportional to 338,659.84, 467,256 and 266,816.80

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Solution

The fourth proportional to 338,659.84, 467,256 and 266,816.80 is: 368,132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,659.84 : 467,256 = 266,816.80 : x
  2. Step 2: Convert to fraction form
    338,659.84/467,256 = 266,816.80/x
  3. Step 3: Cross multiply
    338,659.84x = 467,256 × 266,816.80
  4. Step 4: Simplify right side
    338,659.84x = 124,671,750,700.80
  5. Step 5: Solve for x
    x = 124,671,750,700.80/338,659.84
  6. Step 6: Final answer
    x = 368,132.67

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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.