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Finding the Fourth Proportional to 382,359.10, 573,538.65 and 133,041.10

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Solution

The fourth proportional to 382,359.10, 573,538.65 and 133,041.10 is: 199,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,359.10 : 573,538.65 = 133,041.10 : x
  2. Step 2: Convert to fraction form
    382,359.10/573,538.65 = 133,041.10/x
  3. Step 3: Cross multiply
    382,359.10x = 573,538.65 × 133,041.10
  4. Step 4: Simplify right side
    382,359.10x = 76,304,212,888.52
  5. Step 5: Solve for x
    x = 76,304,212,888.52/382,359.10
  6. Step 6: Final answer
    x = 199,561.65

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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.