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Finding the Fourth Proportional to 364,515.66, 546,710.46 and 164,789.64

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Solution

The fourth proportional to 364,515.66, 546,710.46 and 164,789.64 is: 247,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,515.66 : 546,710.46 = 164,789.64 : x
  2. Step 2: Convert to fraction form
    364,515.66/546,710.46 = 164,789.64/x
  3. Step 3: Cross multiply
    364,515.66x = 546,710.46 × 164,789.64
  4. Step 4: Simplify right side
    364,515.66x = 90,092,219,887.63
  5. Step 5: Solve for x
    x = 90,092,219,887.63/364,515.66
  6. Step 6: Final answer
    x = 247,155.97

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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.