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Finding the Fourth Proportional to 283,705.97, 391,502.44 and 154,641.60

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Solution

The fourth proportional to 283,705.97, 391,502.44 and 154,641.60 is: 213,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,705.97 : 391,502.44 = 154,641.60 : x
  2. Step 2: Convert to fraction form
    283,705.97/391,502.44 = 154,641.60/x
  3. Step 3: Cross multiply
    283,705.97x = 391,502.44 × 154,641.60
  4. Step 4: Simplify right side
    283,705.97x = 60,542,563,918.81
  5. Step 5: Solve for x
    x = 60,542,563,918.81/283,705.97
  6. Step 6: Final answer
    x = 213,398.98

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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.