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Finding the Fourth Proportional to 419,037.40, 627,864.90 and 356,829.40

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Solution

The fourth proportional to 419,037.40, 627,864.90 and 356,829.40 is: 534,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,037.40 : 627,864.90 = 356,829.40 : x
  2. Step 2: Convert to fraction form
    419,037.40/627,864.90 = 356,829.40/x
  3. Step 3: Cross multiply
    419,037.40x = 627,864.90 × 356,829.40
  4. Step 4: Simplify right side
    419,037.40x = 224,040,655,548.06
  5. Step 5: Solve for x
    x = 224,040,655,548.06/419,037.40
  6. Step 6: Final answer
    x = 534,655.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.