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Finding the Fourth Proportional to 442,053.20, 663,166.20 and 175,768.40

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Solution

The fourth proportional to 442,053.20, 663,166.20 and 175,768.40 is: 263,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,053.20 : 663,166.20 = 175,768.40 : x
  2. Step 2: Convert to fraction form
    442,053.20/663,166.20 = 175,768.40/x
  3. Step 3: Cross multiply
    442,053.20x = 663,166.20 × 175,768.40
  4. Step 4: Simplify right side
    442,053.20x = 116,563,661,908.08
  5. Step 5: Solve for x
    x = 116,563,661,908.08/442,053.20
  6. Step 6: Final answer
    x = 263,686.95

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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.