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Finding the Fourth Proportional to 524,753.40, 787,130.10 and 419,777.40

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Solution

The fourth proportional to 524,753.40, 787,130.10 and 419,777.40 is: 629,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,753.40 : 787,130.10 = 419,777.40 : x
  2. Step 2: Convert to fraction form
    524,753.40/787,130.10 = 419,777.40/x
  3. Step 3: Cross multiply
    524,753.40x = 787,130.10 × 419,777.40
  4. Step 4: Simplify right side
    524,753.40x = 330,419,426,839.74
  5. Step 5: Solve for x
    x = 330,419,426,839.74/524,753.40
  6. Step 6: Final answer
    x = 629,666.10

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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.