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Finding the Fourth Proportional to 520,003.40, 778,692.90 and 415,027.40

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Solution

The fourth proportional to 520,003.40, 778,692.90 and 415,027.40 is: 621,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,003.40 : 778,692.90 = 415,027.40 : x
  2. Step 2: Convert to fraction form
    520,003.40/778,692.90 = 415,027.40/x
  3. Step 3: Cross multiply
    520,003.40x = 778,692.90 × 415,027.40
  4. Step 4: Simplify right side
    520,003.40x = 323,178,889,685.46
  5. Step 5: Solve for x
    x = 323,178,889,685.46/520,003.40
  6. Step 6: Final answer
    x = 621,493.80

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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.