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Finding the Fourth Proportional to 511,276.53, 705,555.88 and 278,698.38

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Solution

The fourth proportional to 511,276.53, 705,555.88 and 278,698.38 is: 384,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,276.53 : 705,555.88 = 278,698.38 : x
  2. Step 2: Convert to fraction form
    511,276.53/705,555.88 = 278,698.38/x
  3. Step 3: Cross multiply
    511,276.53x = 705,555.88 × 278,698.38
  4. Step 4: Simplify right side
    511,276.53x = 196,637,277,412.89
  5. Step 5: Solve for x
    x = 196,637,277,412.89/511,276.53
  6. Step 6: Final answer
    x = 384,600.63

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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.