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Finding the Fourth Proportional to 304,090.49, 455,692.88 and 146,134.42

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Solution

The fourth proportional to 304,090.49, 455,692.88 and 146,134.42 is: 218,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,090.49 : 455,692.88 = 146,134.42 : x
  2. Step 2: Convert to fraction form
    304,090.49/455,692.88 = 146,134.42/x
  3. Step 3: Cross multiply
    304,090.49x = 455,692.88 × 146,134.42
  4. Step 4: Simplify right side
    304,090.49x = 66,592,412,847.03
  5. Step 5: Solve for x
    x = 66,592,412,847.03/304,090.49
  6. Step 6: Final answer
    x = 218,988.80

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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.