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Finding the Fourth Proportional to 382,123.94, 573,191.40 and 145,479.60

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Solution

The fourth proportional to 382,123.94, 573,191.40 and 145,479.60 is: 218,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,123.94 : 573,191.40 = 145,479.60 : x
  2. Step 2: Convert to fraction form
    382,123.94/573,191.40 = 145,479.60/x
  3. Step 3: Cross multiply
    382,123.94x = 573,191.40 × 145,479.60
  4. Step 4: Simplify right side
    382,123.94x = 83,387,655,595.44
  5. Step 5: Solve for x
    x = 83,387,655,595.44/382,123.94
  6. Step 6: Final answer
    x = 218,221.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.