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Finding the Fourth Proportional to 517,274.31, 713,937.34 and 342,536.52

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Solution

The fourth proportional to 517,274.31, 713,937.34 and 342,536.52 is: 472,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,274.31 : 713,937.34 = 342,536.52 : x
  2. Step 2: Convert to fraction form
    517,274.31/713,937.34 = 342,536.52/x
  3. Step 3: Cross multiply
    517,274.31x = 713,937.34 × 342,536.52
  4. Step 4: Simplify right side
    517,274.31x = 244,549,611,941.66
  5. Step 5: Solve for x
    x = 244,549,611,941.66/517,274.31
  6. Step 6: Final answer
    x = 472,765.82

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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.