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Finding the Fourth Proportional to 382,681.80, 574,241.40 and 146,194.20

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Solution

The fourth proportional to 382,681.80, 574,241.40 and 146,194.20 is: 219,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,681.80 : 574,241.40 = 146,194.20 : x
  2. Step 2: Convert to fraction form
    382,681.80/574,241.40 = 146,194.20/x
  3. Step 3: Cross multiply
    382,681.80x = 574,241.40 × 146,194.20
  4. Step 4: Simplify right side
    382,681.80x = 83,950,762,079.88
  5. Step 5: Solve for x
    x = 83,950,762,079.88/382,681.80
  6. Step 6: Final answer
    x = 219,374.85

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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.