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Finding the Fourth Proportional to 473,206.80, 709,810.20 and 140,782.80

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Solution

The fourth proportional to 473,206.80, 709,810.20 and 140,782.80 is: 211,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,206.80 : 709,810.20 = 140,782.80 : x
  2. Step 2: Convert to fraction form
    473,206.80/709,810.20 = 140,782.80/x
  3. Step 3: Cross multiply
    473,206.80x = 709,810.20 × 140,782.80
  4. Step 4: Simplify right side
    473,206.80x = 99,929,067,424.56
  5. Step 5: Solve for x
    x = 99,929,067,424.56/473,206.80
  6. Step 6: Final answer
    x = 211,174.20

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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.