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Finding the Fourth Proportional to 282,230.16, 389,457.28 and 161,376.54

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Solution

The fourth proportional to 282,230.16, 389,457.28 and 161,376.54 is: 222,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,230.16 : 389,457.28 = 161,376.54 : x
  2. Step 2: Convert to fraction form
    282,230.16/389,457.28 = 161,376.54/x
  3. Step 3: Cross multiply
    282,230.16x = 389,457.28 × 161,376.54
  4. Step 4: Simplify right side
    282,230.16x = 62,849,265,973.48
  5. Step 5: Solve for x
    x = 62,849,265,973.48/282,230.16
  6. Step 6: Final answer
    x = 222,687.99

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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.