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Finding the Fourth Proportional to 978,048.70, 1,467,073.05 and 268,075.60

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Solution

The fourth proportional to 978,048.70, 1,467,073.05 and 268,075.60 is: 402,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,048.70 : 1,467,073.05 = 268,075.60 : x
  2. Step 2: Convert to fraction form
    978,048.70/1,467,073.05 = 268,075.60/x
  3. Step 3: Cross multiply
    978,048.70x = 1,467,073.05 × 268,075.60
  4. Step 4: Simplify right side
    978,048.70x = 393,286,488,122.58
  5. Step 5: Solve for x
    x = 393,286,488,122.58/978,048.70
  6. Step 6: Final answer
    x = 402,113.40

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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.