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Finding the Fourth Proportional to 334,343, 501,592.26 and 112,727

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Solution

The fourth proportional to 334,343, 501,592.26 and 112,727 is: 169,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,343 : 501,592.26 = 112,727 : x
  2. Step 2: Convert to fraction form
    334,343/501,592.26 = 112,727/x
  3. Step 3: Cross multiply
    334,343x = 501,592.26 × 112,727
  4. Step 4: Simplify right side
    334,343x = 56,542,990,693.02
  5. Step 5: Solve for x
    x = 56,542,990,693.02/334,343
  6. Step 6: Final answer
    x = 169,116.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.