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Finding the Fourth Proportional to 820,320.40, 1,145,649.20 and 820,320.40

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Solution

The fourth proportional to 820,320.40, 1,145,649.20 and 820,320.40 is: 1,145,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,320.40 : 1,145,649.20 = 820,320.40 : x
  2. Step 2: Convert to fraction form
    820,320.40/1,145,649.20 = 820,320.40/x
  3. Step 3: Cross multiply
    820,320.40x = 1,145,649.20 × 820,320.40
  4. Step 4: Simplify right side
    820,320.40x = 939,799,410,003.68
  5. Step 5: Solve for x
    x = 939,799,410,003.68/820,320.40
  6. Step 6: Final answer
    x = 1,145,649.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.