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Finding the Fourth Proportional to 517,200.95, 713,571.17 and 313,186.65

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Solution

The fourth proportional to 517,200.95, 713,571.17 and 313,186.65 is: 432,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,200.95 : 713,571.17 = 313,186.65 : x
  2. Step 2: Convert to fraction form
    517,200.95/713,571.17 = 313,186.65/x
  3. Step 3: Cross multiply
    517,200.95x = 713,571.17 × 313,186.65
  4. Step 4: Simplify right side
    517,200.95x = 223,480,962,702.95
  5. Step 5: Solve for x
    x = 223,480,962,702.95/517,200.95
  6. Step 6: Final answer
    x = 432,096.97

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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.