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Finding the Fourth Proportional to 280,521.39, 420,823.61 and 103,014.56

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Solution

The fourth proportional to 280,521.39, 420,823.61 and 103,014.56 is: 154,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,521.39 : 420,823.61 = 103,014.56 : x
  2. Step 2: Convert to fraction form
    280,521.39/420,823.61 = 103,014.56/x
  3. Step 3: Cross multiply
    280,521.39x = 420,823.61 × 103,014.56
  4. Step 4: Simplify right side
    280,521.39x = 43,350,959,021.76
  5. Step 5: Solve for x
    x = 43,350,959,021.76/280,521.39
  6. Step 6: Final answer
    x = 154,537.09

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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.