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Finding the Fourth Proportional to 507,692.58, 700,591.73 and 303,855.81

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Solution

The fourth proportional to 507,692.58, 700,591.73 and 303,855.81 is: 419,306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,692.58 : 700,591.73 = 303,855.81 : x
  2. Step 2: Convert to fraction form
    507,692.58/700,591.73 = 303,855.81/x
  3. Step 3: Cross multiply
    507,692.58x = 700,591.73 × 303,855.81
  4. Step 4: Simplify right side
    507,692.58x = 212,878,866,079.17
  5. Step 5: Solve for x
    x = 212,878,866,079.17/507,692.58
  6. Step 6: Final answer
    x = 419,306.63

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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.