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Finding the Fourth Proportional to 2,984,185.60, 4,476,278.40 and 2,578,278.40

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Solution

The fourth proportional to 2,984,185.60, 4,476,278.40 and 2,578,278.40 is: 3,867,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984,185.60 : 4,476,278.40 = 2,578,278.40 : x
  2. Step 2: Convert to fraction form
    2,984,185.60/4,476,278.40 = 2,578,278.40/x
  3. Step 3: Cross multiply
    2,984,185.60x = 4,476,278.40 × 2,578,278.40
  4. Step 4: Simplify right side
    2,984,185.60x = 11,541,091,911,106.56
  5. Step 5: Solve for x
    x = 11,541,091,911,106.56/2,984,185.60
  6. Step 6: Final answer
    x = 3,867,417.60

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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.