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Finding the Fourth Proportional to 517,571.22, 714,292.02 and 291,260.46

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Solution

The fourth proportional to 517,571.22, 714,292.02 and 291,260.46 is: 401,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,571.22 : 714,292.02 = 291,260.46 : x
  2. Step 2: Convert to fraction form
    517,571.22/714,292.02 = 291,260.46/x
  3. Step 3: Cross multiply
    517,571.22x = 714,292.02 × 291,260.46
  4. Step 4: Simplify right side
    517,571.22x = 208,045,022,319.53
  5. Step 5: Solve for x
    x = 208,045,022,319.53/517,571.22
  6. Step 6: Final answer
    x = 401,964.05

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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.