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Finding the Fourth Proportional to 403,675.68, 557,057.88 and 233,877

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Solution

The fourth proportional to 403,675.68, 557,057.88 and 233,877 is: 322,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,675.68 : 557,057.88 = 233,877 : x
  2. Step 2: Convert to fraction form
    403,675.68/557,057.88 = 233,877/x
  3. Step 3: Cross multiply
    403,675.68x = 557,057.88 × 233,877
  4. Step 4: Simplify right side
    403,675.68x = 130,283,025,800.76
  5. Step 5: Solve for x
    x = 130,283,025,800.76/403,675.68
  6. Step 6: Final answer
    x = 322,741.83

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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.