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Finding the Fourth Proportional to 414,468.59, 621,702.85 and 114,949.16

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Solution

The fourth proportional to 414,468.59, 621,702.85 and 114,949.16 is: 172,423.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,468.59 : 621,702.85 = 114,949.16 : x
  2. Step 2: Convert to fraction form
    414,468.59/621,702.85 = 114,949.16/x
  3. Step 3: Cross multiply
    414,468.59x = 621,702.85 × 114,949.16
  4. Step 4: Simplify right side
    414,468.59x = 71,464,219,802.36
  5. Step 5: Solve for x
    x = 71,464,219,802.36/414,468.59
  6. Step 6: Final answer
    x = 172,423.73

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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.