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Finding the Fourth Proportional to 872,896.14, 1,204,416.05 and 510,249.87

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Solution

The fourth proportional to 872,896.14, 1,204,416.05 and 510,249.87 is: 704,039.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,896.14 : 1,204,416.05 = 510,249.87 : x
  2. Step 2: Convert to fraction form
    872,896.14/1,204,416.05 = 510,249.87/x
  3. Step 3: Cross multiply
    872,896.14x = 1,204,416.05 × 510,249.87
  4. Step 4: Simplify right side
    872,896.14x = 614,553,130,387.16
  5. Step 5: Solve for x
    x = 614,553,130,387.16/872,896.14
  6. Step 6: Final answer
    x = 704,039.23

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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.