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Finding the Fourth Proportional to 810,415.20, 1,213,873.20 and 670,447.20

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Solution

The fourth proportional to 810,415.20, 1,213,873.20 and 670,447.20 is: 1,004,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,415.20 : 1,213,873.20 = 670,447.20 : x
  2. Step 2: Convert to fraction form
    810,415.20/1,213,873.20 = 670,447.20/x
  3. Step 3: Cross multiply
    810,415.20x = 1,213,873.20 × 670,447.20
  4. Step 4: Simplify right side
    810,415.20x = 813,837,888,095.04
  5. Step 5: Solve for x
    x = 813,837,888,095.04/810,415.20
  6. Step 6: Final answer
    x = 1,004,223.38

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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.