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Finding the Fourth Proportional to 382,356.27, 573,199.07 and 145,541.43

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Solution

The fourth proportional to 382,356.27, 573,199.07 and 145,541.43 is: 218,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,356.27 : 573,199.07 = 145,541.43 : x
  2. Step 2: Convert to fraction form
    382,356.27/573,199.07 = 145,541.43/x
  3. Step 3: Cross multiply
    382,356.27x = 573,199.07 × 145,541.43
  4. Step 4: Simplify right side
    382,356.27x = 83,424,211,594.76
  5. Step 5: Solve for x
    x = 83,424,211,594.76/382,356.27
  6. Step 6: Final answer
    x = 218,184.50

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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.