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Finding the Fourth Proportional to 523,337.46, 722,299.95 and 308,464.98

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Solution

The fourth proportional to 523,337.46, 722,299.95 and 308,464.98 is: 425,737.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,337.46 : 722,299.95 = 308,464.98 : x
  2. Step 2: Convert to fraction form
    523,337.46/722,299.95 = 308,464.98/x
  3. Step 3: Cross multiply
    523,337.46x = 722,299.95 × 308,464.98
  4. Step 4: Simplify right side
    523,337.46x = 222,804,239,630.75
  5. Step 5: Solve for x
    x = 222,804,239,630.75/523,337.46
  6. Step 6: Final answer
    x = 425,737.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.