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Finding the Fourth Proportional to 616,165.20, 922,692.60 and 457,534.80

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Solution

The fourth proportional to 616,165.20, 922,692.60 and 457,534.80 is: 685,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,165.20 : 922,692.60 = 457,534.80 : x
  2. Step 2: Convert to fraction form
    616,165.20/922,692.60 = 457,534.80/x
  3. Step 3: Cross multiply
    616,165.20x = 922,692.60 × 457,534.80
  4. Step 4: Simplify right side
    616,165.20x = 422,163,974,202.48
  5. Step 5: Solve for x
    x = 422,163,974,202.48/616,165.20
  6. Step 6: Final answer
    x = 685,147.38

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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.