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Finding the Fourth Proportional to 715,816.80, 987,829.20 and 409,897.80

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Solution

The fourth proportional to 715,816.80, 987,829.20 and 409,897.80 is: 565,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,816.80 : 987,829.20 = 409,897.80 : x
  2. Step 2: Convert to fraction form
    715,816.80/987,829.20 = 409,897.80/x
  3. Step 3: Cross multiply
    715,816.80x = 987,829.20 × 409,897.80
  4. Step 4: Simplify right side
    715,816.80x = 404,909,015,855.76
  5. Step 5: Solve for x
    x = 404,909,015,855.76/715,816.80
  6. Step 6: Final answer
    x = 565,660.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.