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Finding the Fourth Proportional to 418,952.52, 628,347.66 and 162,784.64

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Solution

The fourth proportional to 418,952.52, 628,347.66 and 162,784.64 is: 244,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,952.52 : 628,347.66 = 162,784.64 : x
  2. Step 2: Convert to fraction form
    418,952.52/628,347.66 = 162,784.64/x
  3. Step 3: Cross multiply
    418,952.52x = 628,347.66 × 162,784.64
  4. Step 4: Simplify right side
    418,952.52x = 102,285,347,627.94
  5. Step 5: Solve for x
    x = 102,285,347,627.94/418,952.52
  6. Step 6: Final answer
    x = 244,145.44

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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.