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Finding the Fourth Proportional to 978,048.20, 1,467,072.30 and 268,075.10

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Solution

The fourth proportional to 978,048.20, 1,467,072.30 and 268,075.10 is: 402,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,048.20 : 1,467,072.30 = 268,075.10 : x
  2. Step 2: Convert to fraction form
    978,048.20/1,467,072.30 = 268,075.10/x
  3. Step 3: Cross multiply
    978,048.20x = 1,467,072.30 × 268,075.10
  4. Step 4: Simplify right side
    978,048.20x = 393,285,553,529.73
  5. Step 5: Solve for x
    x = 393,285,553,529.73/978,048.20
  6. Step 6: Final answer
    x = 402,112.65

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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.