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Finding the Fourth Proportional to 523,160, 784,747.28 and 149,183

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Solution

The fourth proportional to 523,160, 784,747.28 and 149,183 is: 223,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,160 : 784,747.28 = 149,183 : x
  2. Step 2: Convert to fraction form
    523,160/784,747.28 = 149,183/x
  3. Step 3: Cross multiply
    523,160x = 784,747.28 × 149,183
  4. Step 4: Simplify right side
    523,160x = 117,070,953,472.24
  5. Step 5: Solve for x
    x = 117,070,953,472.24/523,160
  6. Step 6: Final answer
    x = 223,776.58

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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.