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Finding the Fourth Proportional to 404,692.44, 607,038.30 and 120,381.84

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Solution

The fourth proportional to 404,692.44, 607,038.30 and 120,381.84 is: 180,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,692.44 : 607,038.30 = 120,381.84 : x
  2. Step 2: Convert to fraction form
    404,692.44/607,038.30 = 120,381.84/x
  3. Step 3: Cross multiply
    404,692.44x = 607,038.30 × 120,381.84
  4. Step 4: Simplify right side
    404,692.44x = 73,076,387,504.47
  5. Step 5: Solve for x
    x = 73,076,387,504.47/404,692.44
  6. Step 6: Final answer
    x = 180,572.65

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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.