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Finding the Fourth Proportional to 472,874.80, 708,145.80 and 314,244.40

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Solution

The fourth proportional to 472,874.80, 708,145.80 and 314,244.40 is: 470,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,874.80 : 708,145.80 = 314,244.40 : x
  2. Step 2: Convert to fraction form
    472,874.80/708,145.80 = 314,244.40/x
  3. Step 3: Cross multiply
    472,874.80x = 708,145.80 × 314,244.40
  4. Step 4: Simplify right side
    472,874.80x = 222,530,852,033.52
  5. Step 5: Solve for x
    x = 222,530,852,033.52/472,874.80
  6. Step 6: Final answer
    x = 470,591.48

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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.