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Finding the Fourth Proportional to 409,772.37, 614,445.30 and 156,977.04

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Solution

The fourth proportional to 409,772.37, 614,445.30 and 156,977.04 is: 235,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,772.37 : 614,445.30 = 156,977.04 : x
  2. Step 2: Convert to fraction form
    409,772.37/614,445.30 = 156,977.04/x
  3. Step 3: Cross multiply
    409,772.37x = 614,445.30 × 156,977.04
  4. Step 4: Simplify right side
    409,772.37x = 96,453,804,435.91
  5. Step 5: Solve for x
    x = 96,453,804,435.91/409,772.37
  6. Step 6: Final answer
    x = 235,383.87

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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.