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Finding the Fourth Proportional to 517,260.33, 713,652.93 and 313,245.90

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Solution

The fourth proportional to 517,260.33, 713,652.93 and 313,245.90 is: 432,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,260.33 : 713,652.93 = 313,245.90 : x
  2. Step 2: Convert to fraction form
    517,260.33/713,652.93 = 313,245.90/x
  3. Step 3: Cross multiply
    517,260.33x = 713,652.93 × 313,245.90
  4. Step 4: Simplify right side
    517,260.33x = 223,548,854,345.49
  5. Step 5: Solve for x
    x = 223,548,854,345.49/517,260.33
  6. Step 6: Final answer
    x = 432,178.62

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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.