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Finding the Fourth Proportional to 389,795.16, 584,692.68 and 146,681.94

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Solution

The fourth proportional to 389,795.16, 584,692.68 and 146,681.94 is: 220,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,795.16 : 584,692.68 = 146,681.94 : x
  2. Step 2: Convert to fraction form
    389,795.16/584,692.68 = 146,681.94/x
  3. Step 3: Cross multiply
    389,795.16x = 584,692.68 × 146,681.94
  4. Step 4: Simplify right side
    389,795.16x = 85,763,856,606.20
  5. Step 5: Solve for x
    x = 85,763,856,606.20/389,795.16
  6. Step 6: Final answer
    x = 220,022.89

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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.