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Finding the Fourth Proportional to 583,150.44, 805,017.77 and 411,208.50

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Solution

The fourth proportional to 583,150.44, 805,017.77 and 411,208.50 is: 567,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,150.44 : 805,017.77 = 411,208.50 : x
  2. Step 2: Convert to fraction form
    583,150.44/805,017.77 = 411,208.50/x
  3. Step 3: Cross multiply
    583,150.44x = 805,017.77 × 411,208.50
  4. Step 4: Simplify right side
    583,150.44x = 331,030,149,675.05
  5. Step 5: Solve for x
    x = 331,030,149,675.05/583,150.44
  6. Step 6: Final answer
    x = 567,658.24

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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.