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Finding the Fourth Proportional to 414,468.66, 621,702.95 and 114,949.23

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Solution

The fourth proportional to 414,468.66, 621,702.95 and 114,949.23 is: 172,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,468.66 : 621,702.95 = 114,949.23 : x
  2. Step 2: Convert to fraction form
    414,468.66/621,702.95 = 114,949.23/x
  3. Step 3: Cross multiply
    414,468.66x = 621,702.95 × 114,949.23
  4. Step 4: Simplify right side
    414,468.66x = 71,464,275,247.54
  5. Step 5: Solve for x
    x = 71,464,275,247.54/414,468.66
  6. Step 6: Final answer
    x = 172,423.84

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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.