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Finding the Fourth Proportional to 280,298.94, 386,821.56 and 159,437.13

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Solution

The fourth proportional to 280,298.94, 386,821.56 and 159,437.13 is: 220,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,298.94 : 386,821.56 = 159,437.13 : x
  2. Step 2: Convert to fraction form
    280,298.94/386,821.56 = 159,437.13/x
  3. Step 3: Cross multiply
    280,298.94x = 386,821.56 × 159,437.13
  4. Step 4: Simplify right side
    280,298.94x = 61,673,719,348.52
  5. Step 5: Solve for x
    x = 61,673,719,348.52/280,298.94
  6. Step 6: Final answer
    x = 220,028.37

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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.