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Finding the Fourth Proportional to 517,814.07, 714,863.00 and 363,238.97

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Solution

The fourth proportional to 517,814.07, 714,863.00 and 363,238.97 is: 501,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,814.07 : 714,863.00 = 363,238.97 : x
  2. Step 2: Convert to fraction form
    517,814.07/714,863.00 = 363,238.97/x
  3. Step 3: Cross multiply
    517,814.07x = 714,863.00 × 363,238.97
  4. Step 4: Simplify right side
    517,814.07x = 259,666,094,420.60
  5. Step 5: Solve for x
    x = 259,666,094,420.60/517,814.07
  6. Step 6: Final answer
    x = 501,465.89

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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.