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Finding the Fourth Proportional to 617,142.64, 925,823.76 and 218,014.96

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Solution

The fourth proportional to 617,142.64, 925,823.76 and 218,014.96 is: 327,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,142.64 : 925,823.76 = 218,014.96 : x
  2. Step 2: Convert to fraction form
    617,142.64/925,823.76 = 218,014.96/x
  3. Step 3: Cross multiply
    617,142.64x = 925,823.76 × 218,014.96
  4. Step 4: Simplify right side
    617,142.64x = 201,843,430,003.45
  5. Step 5: Solve for x
    x = 201,843,430,003.45/617,142.64
  6. Step 6: Final answer
    x = 327,061.23

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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.