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Finding the Fourth Proportional to 517,004.94, 713,569.20 and 335,462.06

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Solution

The fourth proportional to 517,004.94, 713,569.20 and 335,462.06 is: 463,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,004.94 : 713,569.20 = 335,462.06 : x
  2. Step 2: Convert to fraction form
    517,004.94/713,569.20 = 335,462.06/x
  3. Step 3: Cross multiply
    517,004.94x = 713,569.20 × 335,462.06
  4. Step 4: Simplify right side
    517,004.94x = 239,375,393,784.55
  5. Step 5: Solve for x
    x = 239,375,393,784.55/517,004.94
  6. Step 6: Final answer
    x = 463,004.07

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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.