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Finding the Fourth Proportional to 523,073.49, 784,506.87 and 143,896.38

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Solution

The fourth proportional to 523,073.49, 784,506.87 and 143,896.38 is: 215,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,073.49 : 784,506.87 = 143,896.38 : x
  2. Step 2: Convert to fraction form
    523,073.49/784,506.87 = 143,896.38/x
  3. Step 3: Cross multiply
    523,073.49x = 784,506.87 × 143,896.38
  4. Step 4: Simplify right side
    523,073.49x = 112,887,698,678.13
  5. Step 5: Solve for x
    x = 112,887,698,678.13/523,073.49
  6. Step 6: Final answer
    x = 215,816.13

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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.