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Finding the Fourth Proportional to 419,090.27, 578,356.91 and 296,801.43

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Solution

The fourth proportional to 419,090.27, 578,356.91 and 296,801.43 is: 409,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,090.27 : 578,356.91 = 296,801.43 : x
  2. Step 2: Convert to fraction form
    419,090.27/578,356.91 = 296,801.43/x
  3. Step 3: Cross multiply
    419,090.27x = 578,356.91 × 296,801.43
  4. Step 4: Simplify right side
    419,090.27x = 171,657,156,454.37
  5. Step 5: Solve for x
    x = 171,657,156,454.37/419,090.27
  6. Step 6: Final answer
    x = 409,594.71

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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.