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Finding the Fourth Proportional to 655,840.41, 983,667.16 and 206,549.58

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Solution

The fourth proportional to 655,840.41, 983,667.16 and 206,549.58 is: 309,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,840.41 : 983,667.16 = 206,549.58 : x
  2. Step 2: Convert to fraction form
    655,840.41/983,667.16 = 206,549.58/x
  3. Step 3: Cross multiply
    655,840.41x = 983,667.16 × 206,549.58
  4. Step 4: Simplify right side
    655,840.41x = 203,176,038,757.79
  5. Step 5: Solve for x
    x = 203,176,038,757.79/655,840.41
  6. Step 6: Final answer
    x = 309,794.94

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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.