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Finding the Fourth Proportional to 409,916.80, 614,583.60 and 157,099.60

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Solution

The fourth proportional to 409,916.80, 614,583.60 and 157,099.60 is: 235,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,916.80 : 614,583.60 = 157,099.60 : x
  2. Step 2: Convert to fraction form
    409,916.80/614,583.60 = 157,099.60/x
  3. Step 3: Cross multiply
    409,916.80x = 614,583.60 × 157,099.60
  4. Step 4: Simplify right side
    409,916.80x = 96,550,837,726.56
  5. Step 5: Solve for x
    x = 96,550,837,726.56/409,916.80
  6. Step 6: Final answer
    x = 235,537.65

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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.