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Finding the Fourth Proportional to 483,443.80, 725,165.70 and 429,530.20

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Solution

The fourth proportional to 483,443.80, 725,165.70 and 429,530.20 is: 644,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,443.80 : 725,165.70 = 429,530.20 : x
  2. Step 2: Convert to fraction form
    483,443.80/725,165.70 = 429,530.20/x
  3. Step 3: Cross multiply
    483,443.80x = 725,165.70 × 429,530.20
  4. Step 4: Simplify right side
    483,443.80x = 311,480,568,154.14
  5. Step 5: Solve for x
    x = 311,480,568,154.14/483,443.80
  6. Step 6: Final answer
    x = 644,295.30

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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.