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Finding the Fourth Proportional to 472,692.25, 709,038.38 and 140,268.25

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Solution

The fourth proportional to 472,692.25, 709,038.38 and 140,268.25 is: 210,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,692.25 : 709,038.38 = 140,268.25 : x
  2. Step 2: Convert to fraction form
    472,692.25/709,038.38 = 140,268.25/x
  3. Step 3: Cross multiply
    472,692.25x = 709,038.38 × 140,268.25
  4. Step 4: Simplify right side
    472,692.25x = 99,455,572,745.44
  5. Step 5: Solve for x
    x = 99,455,572,745.44/472,692.25
  6. Step 6: Final answer
    x = 210,402.38

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Similar ratio
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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.