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Finding the Fourth Proportional to 514,073.17, 769,768.39 and 413,685.01

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Solution

The fourth proportional to 514,073.17, 769,768.39 and 413,685.01 is: 619,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,073.17 : 769,768.39 = 413,685.01 : x
  2. Step 2: Convert to fraction form
    514,073.17/769,768.39 = 413,685.01/x
  3. Step 3: Cross multiply
    514,073.17x = 769,768.39 × 413,685.01
  4. Step 4: Simplify right side
    514,073.17x = 318,441,644,114.83
  5. Step 5: Solve for x
    x = 318,441,644,114.83/514,073.17
  6. Step 6: Final answer
    x = 619,448.09

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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.