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Finding the Fourth Proportional to 517,402.85, 713,855.22 and 293,591.51

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Solution

The fourth proportional to 517,402.85, 713,855.22 and 293,591.51 is: 405,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,402.85 : 713,855.22 = 293,591.51 : x
  2. Step 2: Convert to fraction form
    517,402.85/713,855.22 = 293,591.51/x
  3. Step 3: Cross multiply
    517,402.85x = 713,855.22 × 293,591.51
  4. Step 4: Simplify right side
    517,402.85x = 209,581,828,391.91
  5. Step 5: Solve for x
    x = 209,581,828,391.91/517,402.85
  6. Step 6: Final answer
    x = 405,065.09

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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.