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Finding the Fourth Proportional to 364,627.80, 546,938.10 and 115,309.80

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Solution

The fourth proportional to 364,627.80, 546,938.10 and 115,309.80 is: 172,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,627.80 : 546,938.10 = 115,309.80 : x
  2. Step 2: Convert to fraction form
    364,627.80/546,938.10 = 115,309.80/x
  3. Step 3: Cross multiply
    364,627.80x = 546,938.10 × 115,309.80
  4. Step 4: Simplify right side
    364,627.80x = 63,067,322,923.38
  5. Step 5: Solve for x
    x = 63,067,322,923.38/364,627.80
  6. Step 6: Final answer
    x = 172,963.56

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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.