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Finding the Fourth Proportional to 334,744.78, 461,951.40 and 183,841.78

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Solution

The fourth proportional to 334,744.78, 461,951.40 and 183,841.78 is: 253,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,744.78 : 461,951.40 = 183,841.78 : x
  2. Step 2: Convert to fraction form
    334,744.78/461,951.40 = 183,841.78/x
  3. Step 3: Cross multiply
    334,744.78x = 461,951.40 × 183,841.78
  4. Step 4: Simplify right side
    334,744.78x = 84,925,967,649.49
  5. Step 5: Solve for x
    x = 84,925,967,649.49/334,744.78
  6. Step 6: Final answer
    x = 253,703.64

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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.