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Finding the Fourth Proportional to 437,509.92, 656,297.04 and 157,029.60

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Solution

The fourth proportional to 437,509.92, 656,297.04 and 157,029.60 is: 235,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,509.92 : 656,297.04 = 157,029.60 : x
  2. Step 2: Convert to fraction form
    437,509.92/656,297.04 = 157,029.60/x
  3. Step 3: Cross multiply
    437,509.92x = 656,297.04 × 157,029.60
  4. Step 4: Simplify right side
    437,509.92x = 103,058,061,672.38
  5. Step 5: Solve for x
    x = 103,058,061,672.38/437,509.92
  6. Step 6: Final answer
    x = 235,555.94

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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.