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Finding the Fourth Proportional to 635,047.04, 876,408.72 and 419,813.84

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Solution

The fourth proportional to 635,047.04, 876,408.72 and 419,813.84 is: 579,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,047.04 : 876,408.72 = 419,813.84 : x
  2. Step 2: Convert to fraction form
    635,047.04/876,408.72 = 419,813.84/x
  3. Step 3: Cross multiply
    635,047.04x = 876,408.72 × 419,813.84
  4. Step 4: Simplify right side
    635,047.04x = 367,928,510,152.69
  5. Step 5: Solve for x
    x = 367,928,510,152.69/635,047.04
  6. Step 6: Final answer
    x = 579,372.06

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Why These Related Problems?

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