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Finding the Fourth Proportional to 524,241.70, 785,101.32 and 298,919.03

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Solution

The fourth proportional to 524,241.70, 785,101.32 and 298,919.03 is: 447,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,241.70 : 785,101.32 = 298,919.03 : x
  2. Step 2: Convert to fraction form
    524,241.70/785,101.32 = 298,919.03/x
  3. Step 3: Cross multiply
    524,241.70x = 785,101.32 × 298,919.03
  4. Step 4: Simplify right side
    524,241.70x = 234,681,721,100.61
  5. Step 5: Solve for x
    x = 234,681,721,100.61/524,241.70
  6. Step 6: Final answer
    x = 447,659.39

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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.