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Finding the Fourth Proportional to 685,360, 946,295.68 and 550,137.76

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Solution

The fourth proportional to 685,360, 946,295.68 and 550,137.76 is: 759,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,360 : 946,295.68 = 550,137.76 : x
  2. Step 2: Convert to fraction form
    685,360/946,295.68 = 550,137.76/x
  3. Step 3: Cross multiply
    685,360x = 946,295.68 × 550,137.76
  4. Step 4: Simplify right side
    685,360x = 520,592,985,692.88
  5. Step 5: Solve for x
    x = 520,592,985,692.88/685,360
  6. Step 6: Final answer
    x = 759,590.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.