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Finding the Fourth Proportional to 4,499,097.97, 6,747,356.62 and 1,466,728.51

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Solution

The fourth proportional to 4,499,097.97, 6,747,356.62 and 1,466,728.51 is: 2,199,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499,097.97 : 6,747,356.62 = 1,466,728.51 : x
  2. Step 2: Convert to fraction form
    4,499,097.97/6,747,356.62 = 1,466,728.51/x
  3. Step 3: Cross multiply
    4,499,097.97x = 6,747,356.62 × 1,466,728.51
  4. Step 4: Simplify right side
    4,499,097.97x = 9,896,540,280,620.81
  5. Step 5: Solve for x
    x = 9,896,540,280,620.81/4,499,097.97
  6. Step 6: Final answer
    x = 2,199,672.10

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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.