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Finding the Fourth Proportional to 282,025.04, 422,473.56 and 169,643.12

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Solution

The fourth proportional to 282,025.04, 422,473.56 and 169,643.12 is: 254,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,025.04 : 422,473.56 = 169,643.12 : x
  2. Step 2: Convert to fraction form
    282,025.04/422,473.56 = 169,643.12/x
  3. Step 3: Cross multiply
    282,025.04x = 422,473.56 × 169,643.12
  4. Step 4: Simplify right side
    282,025.04x = 71,669,732,835.91
  5. Step 5: Solve for x
    x = 71,669,732,835.91/282,025.04
  6. Step 6: Final answer
    x = 254,125.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.