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Finding the Fourth Proportional to 536,978.52, 741,033.12 and 295,276.74

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Solution

The fourth proportional to 536,978.52, 741,033.12 and 295,276.74 is: 407,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,978.52 : 741,033.12 = 295,276.74 : x
  2. Step 2: Convert to fraction form
    536,978.52/741,033.12 = 295,276.74/x
  3. Step 3: Cross multiply
    536,978.52x = 741,033.12 × 295,276.74
  4. Step 4: Simplify right side
    536,978.52x = 218,809,843,905.63
  5. Step 5: Solve for x
    x = 218,809,843,905.63/536,978.52
  6. Step 6: Final answer
    x = 407,483.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.