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Finding the Fourth Proportional to 652,288.80, 978,433.20 and 453,223.20

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Solution

The fourth proportional to 652,288.80, 978,433.20 and 453,223.20 is: 679,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,288.80 : 978,433.20 = 453,223.20 : x
  2. Step 2: Convert to fraction form
    652,288.80/978,433.20 = 453,223.20/x
  3. Step 3: Cross multiply
    652,288.80x = 978,433.20 × 453,223.20
  4. Step 4: Simplify right side
    652,288.80x = 443,448,625,890.24
  5. Step 5: Solve for x
    x = 443,448,625,890.24/652,288.80
  6. Step 6: Final answer
    x = 679,834.80

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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.