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Finding the Fourth Proportional to 306,698.40, 460,092.96 and 157,023.36

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Solution

The fourth proportional to 306,698.40, 460,092.96 and 157,023.36 is: 235,558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,698.40 : 460,092.96 = 157,023.36 : x
  2. Step 2: Convert to fraction form
    306,698.40/460,092.96 = 157,023.36/x
  3. Step 3: Cross multiply
    306,698.40x = 460,092.96 × 157,023.36
  4. Step 4: Simplify right side
    306,698.40x = 72,245,342,491.55
  5. Step 5: Solve for x
    x = 72,245,342,491.55/306,698.40
  6. Step 6: Final answer
    x = 235,558.26

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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.