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Finding the Fourth Proportional to 518,551.16, 715,574.94 and 292,211.24

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Solution

The fourth proportional to 518,551.16, 715,574.94 and 292,211.24 is: 403,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,551.16 : 715,574.94 = 292,211.24 : x
  2. Step 2: Convert to fraction form
    518,551.16/715,574.94 = 292,211.24/x
  3. Step 3: Cross multiply
    518,551.16x = 715,574.94 × 292,211.24
  4. Step 4: Simplify right side
    518,551.16x = 209,099,040,530.33
  5. Step 5: Solve for x
    x = 209,099,040,530.33/518,551.16
  6. Step 6: Final answer
    x = 403,237.05

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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.