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Finding the Fourth Proportional to 280,873.20, 421,296.84 and 70,506.48

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Solution

The fourth proportional to 280,873.20, 421,296.84 and 70,506.48 is: 105,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,873.20 : 421,296.84 = 70,506.48 : x
  2. Step 2: Convert to fraction form
    280,873.20/421,296.84 = 70,506.48/x
  3. Step 3: Cross multiply
    280,873.20x = 421,296.84 × 70,506.48
  4. Step 4: Simplify right side
    280,873.20x = 29,704,157,223.52
  5. Step 5: Solve for x
    x = 29,704,157,223.52/280,873.20
  6. Step 6: Final answer
    x = 105,756.47

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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.