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Finding the Fourth Proportional to 334,732.77, 461,934.50 and 183,829.77

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Solution

The fourth proportional to 334,732.77, 461,934.50 and 183,829.77 is: 253,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,732.77 : 461,934.50 = 183,829.77 : x
  2. Step 2: Convert to fraction form
    334,732.77/461,934.50 = 183,829.77/x
  3. Step 3: Cross multiply
    334,732.77x = 461,934.50 × 183,829.77
  4. Step 4: Simplify right side
    334,732.77x = 84,917,311,970.92
  5. Step 5: Solve for x
    x = 84,917,311,970.92/334,732.77
  6. Step 6: Final answer
    x = 253,686.88

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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.