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Finding the Fourth Proportional to 511,534.40, 767,301.60 and 405,780.80

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Solution

The fourth proportional to 511,534.40, 767,301.60 and 405,780.80 is: 608,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,534.40 : 767,301.60 = 405,780.80 : x
  2. Step 2: Convert to fraction form
    511,534.40/767,301.60 = 405,780.80/x
  3. Step 3: Cross multiply
    511,534.40x = 767,301.60 × 405,780.80
  4. Step 4: Simplify right side
    511,534.40x = 311,356,257,089.28
  5. Step 5: Solve for x
    x = 311,356,257,089.28/511,534.40
  6. Step 6: Final answer
    x = 608,671.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.