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Finding the Fourth Proportional to 519,721.12, 717,243.96 and 366,808.24

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Solution

The fourth proportional to 519,721.12, 717,243.96 and 366,808.24 is: 506,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,721.12 : 717,243.96 = 366,808.24 : x
  2. Step 2: Convert to fraction form
    519,721.12/717,243.96 = 366,808.24/x
  3. Step 3: Cross multiply
    519,721.12x = 717,243.96 × 366,808.24
  4. Step 4: Simplify right side
    519,721.12x = 263,090,994,618.23
  5. Step 5: Solve for x
    x = 263,090,994,618.23/519,721.12
  6. Step 6: Final answer
    x = 506,215.71

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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.