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Finding the Fourth Proportional to 514,593.27, 709,603.34 and 406,992.87

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Solution

The fourth proportional to 514,593.27, 709,603.34 and 406,992.87 is: 561,226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,593.27 : 709,603.34 = 406,992.87 : x
  2. Step 2: Convert to fraction form
    514,593.27/709,603.34 = 406,992.87/x
  3. Step 3: Cross multiply
    514,593.27x = 709,603.34 × 406,992.87
  4. Step 4: Simplify right side
    514,593.27x = 288,803,497,873.22
  5. Step 5: Solve for x
    x = 288,803,497,873.22/514,593.27
  6. Step 6: Final answer
    x = 561,226.73

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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.