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Finding the Fourth Proportional to 511,708.80, 767,563.20 and 404,803.20

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Solution

The fourth proportional to 511,708.80, 767,563.20 and 404,803.20 is: 607,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,708.80 : 767,563.20 = 404,803.20 : x
  2. Step 2: Convert to fraction form
    511,708.80/767,563.20 = 404,803.20/x
  3. Step 3: Cross multiply
    511,708.80x = 767,563.20 × 404,803.20
  4. Step 4: Simplify right side
    511,708.80x = 310,712,039,562.24
  5. Step 5: Solve for x
    x = 310,712,039,562.24/511,708.80
  6. Step 6: Final answer
    x = 607,204.80

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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.