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Finding the Fourth Proportional to 506,393.82, 759,477.72 and 151,361.73

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Solution

The fourth proportional to 506,393.82, 759,477.72 and 151,361.73 is: 227,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,393.82 : 759,477.72 = 151,361.73 : x
  2. Step 2: Convert to fraction form
    506,393.82/759,477.72 = 151,361.73/x
  3. Step 3: Cross multiply
    506,393.82x = 759,477.72 × 151,361.73
  4. Step 4: Simplify right side
    506,393.82x = 114,955,861,595.66
  5. Step 5: Solve for x
    x = 114,955,861,595.66/506,393.82
  6. Step 6: Final answer
    x = 227,008.82

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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.