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Finding the Fourth Proportional to 410,111.10, 565,725.87 and 240,312.42

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Solution

The fourth proportional to 410,111.10, 565,725.87 and 240,312.42 is: 331,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,111.10 : 565,725.87 = 240,312.42 : x
  2. Step 2: Convert to fraction form
    410,111.10/565,725.87 = 240,312.42/x
  3. Step 3: Cross multiply
    410,111.10x = 565,725.87 × 240,312.42
  4. Step 4: Simplify right side
    410,111.10x = 135,950,952,876.31
  5. Step 5: Solve for x
    x = 135,950,952,876.31/410,111.10
  6. Step 6: Final answer
    x = 331,497.86

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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.