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Finding the Fourth Proportional to 509,767.32, 703,467.45 and 277,189.25

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Solution

The fourth proportional to 509,767.32, 703,467.45 and 277,189.25 is: 382,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,767.32 : 703,467.45 = 277,189.25 : x
  2. Step 2: Convert to fraction form
    509,767.32/703,467.45 = 277,189.25/x
  3. Step 3: Cross multiply
    509,767.32x = 703,467.45 × 277,189.25
  4. Step 4: Simplify right side
    509,767.32x = 194,993,611,347.58
  5. Step 5: Solve for x
    x = 194,993,611,347.58/509,767.32
  6. Step 6: Final answer
    x = 382,514.93

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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.