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Finding the Fourth Proportional to 517,867.12, 714,561.24 and 291,464.56

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Solution

The fourth proportional to 517,867.12, 714,561.24 and 291,464.56 is: 402,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,867.12 : 714,561.24 = 291,464.56 : x
  2. Step 2: Convert to fraction form
    517,867.12/714,561.24 = 291,464.56/x
  3. Step 3: Cross multiply
    517,867.12x = 714,561.24 × 291,464.56
  4. Step 4: Simplify right side
    517,867.12x = 208,269,277,409.65
  5. Step 5: Solve for x
    x = 208,269,277,409.65/517,867.12
  6. Step 6: Final answer
    x = 402,167.41

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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.