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Finding the Fourth Proportional to 493,616.16, 680,843.88 and 302,705.64

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Solution

The fourth proportional to 493,616.16, 680,843.88 and 302,705.64 is: 417,521.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,616.16 : 680,843.88 = 302,705.64 : x
  2. Step 2: Convert to fraction form
    493,616.16/680,843.88 = 302,705.64/x
  3. Step 3: Cross multiply
    493,616.16x = 680,843.88 × 302,705.64
  4. Step 4: Simplify right side
    493,616.16x = 206,095,282,435.48
  5. Step 5: Solve for x
    x = 206,095,282,435.48/493,616.16
  6. Step 6: Final answer
    x = 417,521.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.