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Finding the Fourth Proportional to 523,714.37, 785,578.84 and 149,737.37

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Solution

The fourth proportional to 523,714.37, 785,578.84 and 149,737.37 is: 224,608.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,714.37 : 785,578.84 = 149,737.37 : x
  2. Step 2: Convert to fraction form
    523,714.37/785,578.84 = 149,737.37/x
  3. Step 3: Cross multiply
    523,714.37x = 785,578.84 × 149,737.37
  4. Step 4: Simplify right side
    523,714.37x = 117,630,509,429.25
  5. Step 5: Solve for x
    x = 117,630,509,429.25/523,714.37
  6. Step 6: Final answer
    x = 224,608.14

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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.