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Finding the Fourth Proportional to 419,088.26, 578,354.14 and 296,799.42

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Solution

The fourth proportional to 419,088.26, 578,354.14 and 296,799.42 is: 409,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,088.26 : 578,354.14 = 296,799.42 : x
  2. Step 2: Convert to fraction form
    419,088.26/578,354.14 = 296,799.42/x
  3. Step 3: Cross multiply
    419,088.26x = 578,354.14 × 296,799.42
  4. Step 4: Simplify right side
    419,088.26x = 171,655,175,846.43
  5. Step 5: Solve for x
    x = 171,655,175,846.43/419,088.26
  6. Step 6: Final answer
    x = 409,591.94

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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.