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Finding the Fourth Proportional to 524,028.10, 785,898.15 and 144,858.82

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Solution

The fourth proportional to 524,028.10, 785,898.15 and 144,858.82 is: 217,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,028.10 : 785,898.15 = 144,858.82 : x
  2. Step 2: Convert to fraction form
    524,028.10/785,898.15 = 144,858.82/x
  3. Step 3: Cross multiply
    524,028.10x = 785,898.15 × 144,858.82
  4. Step 4: Simplify right side
    524,028.10x = 113,844,278,649.18
  5. Step 5: Solve for x
    x = 113,844,278,649.18/524,028.10
  6. Step 6: Final answer
    x = 217,248.42

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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.