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Finding the Fourth Proportional to 469,901.44, 648,464.56 and 255,041.44

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Solution

The fourth proportional to 469,901.44, 648,464.56 and 255,041.44 is: 351,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,901.44 : 648,464.56 = 255,041.44 : x
  2. Step 2: Convert to fraction form
    469,901.44/648,464.56 = 255,041.44/x
  3. Step 3: Cross multiply
    469,901.44x = 648,464.56 × 255,041.44
  4. Step 4: Simplify right side
    469,901.44x = 165,385,335,171.37
  5. Step 5: Solve for x
    x = 165,385,335,171.37/469,901.44
  6. Step 6: Final answer
    x = 351,957.50

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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.