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Finding the Fourth Proportional to 382,313.97, 573,539.90 and 157,549.30

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Solution

The fourth proportional to 382,313.97, 573,539.90 and 157,549.30 is: 236,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,313.97 : 573,539.90 = 157,549.30 : x
  2. Step 2: Convert to fraction form
    382,313.97/573,539.90 = 157,549.30/x
  3. Step 3: Cross multiply
    382,313.97x = 573,539.90 × 157,549.30
  4. Step 4: Simplify right side
    382,313.97x = 90,360,806,899.37
  5. Step 5: Solve for x
    x = 90,360,806,899.37/382,313.97
  6. Step 6: Final answer
    x = 236,352.36

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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.