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Finding the Fourth Proportional to 517,182.62, 713,257.70 and 362,054.43

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Solution

The fourth proportional to 517,182.62, 713,257.70 and 362,054.43 is: 499,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,182.62 : 713,257.70 = 362,054.43 : x
  2. Step 2: Convert to fraction form
    517,182.62/713,257.70 = 362,054.43/x
  3. Step 3: Cross multiply
    517,182.62x = 713,257.70 × 362,054.43
  4. Step 4: Simplify right side
    517,182.62x = 258,238,108,206.34
  5. Step 5: Solve for x
    x = 258,238,108,206.34/517,182.62
  6. Step 6: Final answer
    x = 499,317.07

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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.