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Finding the Fourth Proportional to 517,764.14, 713,903.14 and 354,499.82

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Solution

The fourth proportional to 517,764.14, 713,903.14 and 354,499.82 is: 488,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,764.14 : 713,903.14 = 354,499.82 : x
  2. Step 2: Convert to fraction form
    517,764.14/713,903.14 = 354,499.82/x
  3. Step 3: Cross multiply
    517,764.14x = 713,903.14 × 354,499.82
  4. Step 4: Simplify right side
    517,764.14x = 253,078,534,627.44
  5. Step 5: Solve for x
    x = 253,078,534,627.44/517,764.14
  6. Step 6: Final answer
    x = 488,791.16

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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.