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Finding the Fourth Proportional to 517,563.54, 714,230.37 and 291,208.50

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Solution

The fourth proportional to 517,563.54, 714,230.37 and 291,208.50 is: 401,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,563.54 : 714,230.37 = 291,208.50 : x
  2. Step 2: Convert to fraction form
    517,563.54/714,230.37 = 291,208.50/x
  3. Step 3: Cross multiply
    517,563.54x = 714,230.37 × 291,208.50
  4. Step 4: Simplify right side
    517,563.54x = 207,989,954,702.15
  5. Step 5: Solve for x
    x = 207,989,954,702.15/517,563.54
  6. Step 6: Final answer
    x = 401,863.61

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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.