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Finding the Fourth Proportional to 524,074.84, 785,918.86 and 187,025.32

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Solution

The fourth proportional to 524,074.84, 785,918.86 and 187,025.32 is: 280,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,074.84 : 785,918.86 = 187,025.32 : x
  2. Step 2: Convert to fraction form
    524,074.84/785,918.86 = 187,025.32/x
  3. Step 3: Cross multiply
    524,074.84x = 785,918.86 × 187,025.32
  4. Step 4: Simplify right side
    524,074.84x = 146,986,726,285.54
  5. Step 5: Solve for x
    x = 146,986,726,285.54/524,074.84
  6. Step 6: Final answer
    x = 280,468.96

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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.