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Finding the Fourth Proportional to 342,963.60, 473,174.64 and 199,692.96

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Solution

The fourth proportional to 342,963.60, 473,174.64 and 199,692.96 is: 275,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,963.60 : 473,174.64 = 199,692.96 : x
  2. Step 2: Convert to fraction form
    342,963.60/473,174.64 = 199,692.96/x
  3. Step 3: Cross multiply
    342,963.60x = 473,174.64 × 199,692.96
  4. Step 4: Simplify right side
    342,963.60x = 94,489,644,458.53
  5. Step 5: Solve for x
    x = 94,489,644,458.53/342,963.60
  6. Step 6: Final answer
    x = 275,509.25

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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.