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Finding the Fourth Proportional to 403,645.68, 557,024.04 and 233,895.60

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Solution

The fourth proportional to 403,645.68, 557,024.04 and 233,895.60 is: 322,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,645.68 : 557,024.04 = 233,895.60 : x
  2. Step 2: Convert to fraction form
    403,645.68/557,024.04 = 233,895.60/x
  3. Step 3: Cross multiply
    403,645.68x = 557,024.04 × 233,895.60
  4. Step 4: Simplify right side
    403,645.68x = 130,285,472,050.22
  5. Step 5: Solve for x
    x = 130,285,472,050.22/403,645.68
  6. Step 6: Final answer
    x = 322,771.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.