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Finding the Fourth Proportional to 524,069.82, 785,911.34 and 187,020.32

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Solution

The fourth proportional to 524,069.82, 785,911.34 and 187,020.32 is: 280,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,069.82 : 785,911.34 = 187,020.32 : x
  2. Step 2: Convert to fraction form
    524,069.82/785,911.34 = 187,020.32/x
  3. Step 3: Cross multiply
    524,069.82x = 785,911.34 × 187,020.32
  4. Step 4: Simplify right side
    524,069.82x = 146,981,386,836.42
  5. Step 5: Solve for x
    x = 146,981,386,836.42/524,069.82
  6. Step 6: Final answer
    x = 280,461.46

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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.