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Finding the Fourth Proportional to 509,768.32, 703,468.83 and 277,190.25

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Solution

The fourth proportional to 509,768.32, 703,468.83 and 277,190.25 is: 382,516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,768.32 : 703,468.83 = 277,190.25 : x
  2. Step 2: Convert to fraction form
    509,768.32/703,468.83 = 277,190.25/x
  3. Step 3: Cross multiply
    509,768.32x = 703,468.83 × 277,190.25
  4. Step 4: Simplify right side
    509,768.32x = 194,994,700,854.91
  5. Step 5: Solve for x
    x = 194,994,700,854.91/509,768.32
  6. Step 6: Final answer
    x = 382,516.32

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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.