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Finding the Fourth Proportional to 282,216.78, 389,459.31 and 161,360.46

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Solution

The fourth proportional to 282,216.78, 389,459.31 and 161,360.46 is: 222,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,216.78 : 389,459.31 = 161,360.46 : x
  2. Step 2: Convert to fraction form
    282,216.78/389,459.31 = 161,360.46/x
  3. Step 3: Cross multiply
    282,216.78x = 389,459.31 × 161,360.46
  4. Step 4: Simplify right side
    282,216.78x = 62,843,333,412.88
  5. Step 5: Solve for x
    x = 62,843,333,412.88/282,216.78
  6. Step 6: Final answer
    x = 222,677.52

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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.