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Finding the Fourth Proportional to 279,938,382.40, 419,907,573.60 and 254,429,214.40

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Solution

The fourth proportional to 279,938,382.40, 419,907,573.60 and 254,429,214.40 is: 381,643,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,938,382.40 : 419,907,573.60 = 254,429,214.40 : x
  2. Step 2: Convert to fraction form
    279,938,382.40/419,907,573.60 = 254,429,214.40/x
  3. Step 3: Cross multiply
    279,938,382.40x = 419,907,573.60 × 254,429,214.40
  4. Step 4: Simplify right side
    279,938,382.40x = 106,836,754,071,658,192
  5. Step 5: Solve for x
    x = 106,836,754,071,658,192/279,938,382.40
  6. Step 6: Final answer
    x = 381,643,821.60

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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.