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Finding the Fourth Proportional to 334,702, 461,892 and 183,802.24

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Solution

The fourth proportional to 334,702, 461,892 and 183,802.24 is: 253,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,702 : 461,892 = 183,802.24 : x
  2. Step 2: Convert to fraction form
    334,702/461,892 = 183,802.24/x
  3. Step 3: Cross multiply
    334,702x = 461,892 × 183,802.24
  4. Step 4: Simplify right side
    334,702x = 84,896,784,238.08
  5. Step 5: Solve for x
    x = 84,896,784,238.08/334,702
  6. Step 6: Final answer
    x = 253,648.87

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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.