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Finding the Fourth Proportional to 517,296.18, 713,868.57 and 290,941.50

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Solution

The fourth proportional to 517,296.18, 713,868.57 and 290,941.50 is: 401,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,296.18 : 713,868.57 = 290,941.50 : x
  2. Step 2: Convert to fraction form
    517,296.18/713,868.57 = 290,941.50/x
  3. Step 3: Cross multiply
    517,296.18x = 713,868.57 × 290,941.50
  4. Step 4: Simplify right side
    517,296.18x = 207,693,992,558.66
  5. Step 5: Solve for x
    x = 207,693,992,558.66/517,296.18
  6. Step 6: Final answer
    x = 401,499.18

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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.