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Finding the Fourth Proportional to 280,356.46, 386,888.52 and 159,497.48

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Solution

The fourth proportional to 280,356.46, 386,888.52 and 159,497.48 is: 220,104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,356.46 : 386,888.52 = 159,497.48 : x
  2. Step 2: Convert to fraction form
    280,356.46/386,888.52 = 159,497.48/x
  3. Step 3: Cross multiply
    280,356.46x = 386,888.52 × 159,497.48
  4. Step 4: Simplify right side
    280,356.46x = 61,707,743,980.93
  5. Step 5: Solve for x
    x = 61,707,743,980.93/280,356.46
  6. Step 6: Final answer
    x = 220,104.59

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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.