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Finding the Fourth Proportional to 517,263.76, 713,716.94 and 302,362.24

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Solution

The fourth proportional to 517,263.76, 713,716.94 and 302,362.24 is: 417,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,263.76 : 713,716.94 = 302,362.24 : x
  2. Step 2: Convert to fraction form
    517,263.76/713,716.94 = 302,362.24/x
  3. Step 3: Cross multiply
    517,263.76x = 713,716.94 × 302,362.24
  4. Step 4: Simplify right side
    517,263.76x = 215,801,052,704.35
  5. Step 5: Solve for x
    x = 215,801,052,704.35/517,263.76
  6. Step 6: Final answer
    x = 417,197.32

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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.