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Finding the Fourth Proportional to 653,878.24, 978,990.30 and 353,281.78

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Solution

The fourth proportional to 653,878.24, 978,990.30 and 353,281.78 is: 528,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,878.24 : 978,990.30 = 353,281.78 : x
  2. Step 2: Convert to fraction form
    653,878.24/978,990.30 = 353,281.78/x
  3. Step 3: Cross multiply
    653,878.24x = 978,990.30 × 353,281.78
  4. Step 4: Simplify right side
    653,878.24x = 345,859,435,786.73
  5. Step 5: Solve for x
    x = 345,859,435,786.73/653,878.24
  6. Step 6: Final answer
    x = 528,935.53

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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.