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Finding the Fourth Proportional to 518,816.25, 715,977.36 and 292,461.75

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Solution

The fourth proportional to 518,816.25, 715,977.36 and 292,461.75 is: 403,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,816.25 : 715,977.36 = 292,461.75 : x
  2. Step 2: Convert to fraction form
    518,816.25/715,977.36 = 292,461.75/x
  3. Step 3: Cross multiply
    518,816.25x = 715,977.36 × 292,461.75
  4. Step 4: Simplify right side
    518,816.25x = 209,395,991,665.98
  5. Step 5: Solve for x
    x = 209,395,991,665.98/518,816.25
  6. Step 6: Final answer
    x = 403,603.38

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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.