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Finding the Fourth Proportional to 517,664.12, 775,841.90 and 233,051.58

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Solution

The fourth proportional to 517,664.12, 775,841.90 and 233,051.58 is: 349,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,664.12 : 775,841.90 = 233,051.58 : x
  2. Step 2: Convert to fraction form
    517,664.12/775,841.90 = 233,051.58/x
  3. Step 3: Cross multiply
    517,664.12x = 775,841.90 × 233,051.58
  4. Step 4: Simplify right side
    517,664.12x = 180,811,179,459.94
  5. Step 5: Solve for x
    x = 180,811,179,459.94/517,664.12
  6. Step 6: Final answer
    x = 349,282.82

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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.