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Finding the Fourth Proportional to 511,686.80, 767,530.20 and 404,781.20

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Solution

The fourth proportional to 511,686.80, 767,530.20 and 404,781.20 is: 607,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,686.80 : 767,530.20 = 404,781.20 : x
  2. Step 2: Convert to fraction form
    511,686.80/767,530.20 = 404,781.20/x
  3. Step 3: Cross multiply
    511,686.80x = 767,530.20 × 404,781.20
  4. Step 4: Simplify right side
    511,686.80x = 310,681,795,392.24
  5. Step 5: Solve for x
    x = 310,681,795,392.24/511,686.80
  6. Step 6: Final answer
    x = 607,171.80

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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.