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Finding the Fourth Proportional to 517,348.54, 713,933.67 and 290,993.50

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Solution

The fourth proportional to 517,348.54, 713,933.67 and 290,993.50 is: 401,566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,348.54 : 713,933.67 = 290,993.50 : x
  2. Step 2: Convert to fraction form
    517,348.54/713,933.67 = 290,993.50/x
  3. Step 3: Cross multiply
    517,348.54x = 713,933.67 × 290,993.50
  4. Step 4: Simplify right side
    517,348.54x = 207,750,057,401.15
  5. Step 5: Solve for x
    x = 207,750,057,401.15/517,348.54
  6. Step 6: Final answer
    x = 401,566.92

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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.