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Finding the Fourth Proportional to 334,743.78, 461,950.02 and 183,840.78

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Solution

The fourth proportional to 334,743.78, 461,950.02 and 183,840.78 is: 253,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,743.78 : 461,950.02 = 183,840.78 : x
  2. Step 2: Convert to fraction form
    334,743.78/461,950.02 = 183,840.78/x
  3. Step 3: Cross multiply
    334,743.78x = 461,950.02 × 183,840.78
  4. Step 4: Simplify right side
    334,743.78x = 84,925,251,997.82
  5. Step 5: Solve for x
    x = 84,925,251,997.82/334,743.78
  6. Step 6: Final answer
    x = 253,702.26

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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.