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Finding the Fourth Proportional to 429,742.26, 643,727.66 and 251,709.53

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Solution

The fourth proportional to 429,742.26, 643,727.66 and 251,709.53 is: 377,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,742.26 : 643,727.66 = 251,709.53 : x
  2. Step 2: Convert to fraction form
    429,742.26/643,727.66 = 251,709.53/x
  3. Step 3: Cross multiply
    429,742.26x = 643,727.66 × 251,709.53
  4. Step 4: Simplify right side
    429,742.26x = 162,032,382,269.41
  5. Step 5: Solve for x
    x = 162,032,382,269.41/429,742.26
  6. Step 6: Final answer
    x = 377,045.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.