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Finding the Fourth Proportional to 338,784.96, 467,511.49 and 187,896

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Solution

The fourth proportional to 338,784.96, 467,511.49 and 187,896 is: 259,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,784.96 : 467,511.49 = 187,896 : x
  2. Step 2: Convert to fraction form
    338,784.96/467,511.49 = 187,896/x
  3. Step 3: Cross multiply
    338,784.96x = 467,511.49 × 187,896
  4. Step 4: Simplify right side
    338,784.96x = 87,843,538,925.04
  5. Step 5: Solve for x
    x = 87,843,538,925.04/338,784.96
  6. Step 6: Final answer
    x = 259,289.96

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1.5x scale

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.