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Finding the Fourth Proportional to 409,707.02, 614,553.24 and 156,918.98

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Solution

The fourth proportional to 409,707.02, 614,553.24 and 156,918.98 is: 235,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,707.02 : 614,553.24 = 156,918.98 : x
  2. Step 2: Convert to fraction form
    409,707.02/614,553.24 = 156,918.98/x
  3. Step 3: Cross multiply
    409,707.02x = 614,553.24 × 156,918.98
  4. Step 4: Simplify right side
    409,707.02x = 96,435,069,701.32
  5. Step 5: Solve for x
    x = 96,435,069,701.32/409,707.02
  6. Step 6: Final answer
    x = 235,375.68

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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.