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Finding the Fourth Proportional to 517,851.69, 714,441.94 and 517,053.36

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Solution

The fourth proportional to 517,851.69, 714,441.94 and 517,053.36 is: 713,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,851.69 : 714,441.94 = 517,053.36 : x
  2. Step 2: Convert to fraction form
    517,851.69/714,441.94 = 517,053.36/x
  3. Step 3: Cross multiply
    517,851.69x = 714,441.94 × 517,053.36
  4. Step 4: Simplify right side
    517,851.69x = 369,404,605,601.92
  5. Step 5: Solve for x
    x = 369,404,605,601.92/517,851.69
  6. Step 6: Final answer
    x = 713,340.54

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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.