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Finding the Fourth Proportional to 583,564.92, 805,588.52 and 411,622.98

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Solution

The fourth proportional to 583,564.92, 805,588.52 and 411,622.98 is: 568,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,564.92 : 805,588.52 = 411,622.98 : x
  2. Step 2: Convert to fraction form
    583,564.92/805,588.52 = 411,622.98/x
  3. Step 3: Cross multiply
    583,564.92x = 805,588.52 × 411,622.98
  4. Step 4: Simplify right side
    583,564.92x = 331,598,745,198.08
  5. Step 5: Solve for x
    x = 331,598,745,198.08/583,564.92
  6. Step 6: Final answer
    x = 568,229.40

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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.