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Finding the Fourth Proportional to 282,400.40, 389,753.28 and 169,233.68

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Solution

The fourth proportional to 282,400.40, 389,753.28 and 169,233.68 is: 233,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,400.40 : 389,753.28 = 169,233.68 : x
  2. Step 2: Convert to fraction form
    282,400.40/389,753.28 = 169,233.68/x
  3. Step 3: Cross multiply
    282,400.40x = 389,753.28 × 169,233.68
  4. Step 4: Simplify right side
    282,400.40x = 65,959,381,866.47
  5. Step 5: Solve for x
    x = 65,959,381,866.47/282,400.40
  6. Step 6: Final answer
    x = 233,566.89

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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.