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Finding the Fourth Proportional to 653,834.20, 978,924.04 and 353,237.80

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Solution

The fourth proportional to 653,834.20, 978,924.04 and 353,237.80 is: 528,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,834.20 : 978,924.04 = 353,237.80 : x
  2. Step 2: Convert to fraction form
    653,834.20/978,924.04 = 353,237.80/x
  3. Step 3: Cross multiply
    653,834.20x = 978,924.04 × 353,237.80
  4. Step 4: Simplify right side
    653,834.20x = 345,792,974,256.71
  5. Step 5: Solve for x
    x = 345,792,974,256.71/653,834.20
  6. Step 6: Final answer
    x = 528,869.51

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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.