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Finding the Fourth Proportional to 296,415.90, 409,215.78 and 204,671.25

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Solution

The fourth proportional to 296,415.90, 409,215.78 and 204,671.25 is: 282,558.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,415.90 : 409,215.78 = 204,671.25 : x
  2. Step 2: Convert to fraction form
    296,415.90/409,215.78 = 204,671.25/x
  3. Step 3: Cross multiply
    296,415.90x = 409,215.78 × 204,671.25
  4. Step 4: Simplify right side
    296,415.90x = 83,754,705,212.33
  5. Step 5: Solve for x
    x = 83,754,705,212.33/296,415.90
  6. Step 6: Final answer
    x = 282,558.07

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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.