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Finding the Fourth Proportional to 383,736.90, 575,725.64 and 159,203.28

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Solution

The fourth proportional to 383,736.90, 575,725.64 and 159,203.28 is: 238,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,736.90 : 575,725.64 = 159,203.28 : x
  2. Step 2: Convert to fraction form
    383,736.90/575,725.64 = 159,203.28/x
  3. Step 3: Cross multiply
    383,736.90x = 575,725.64 × 159,203.28
  4. Step 4: Simplify right side
    383,736.90x = 91,657,409,472.08
  5. Step 5: Solve for x
    x = 91,657,409,472.08/383,736.90
  6. Step 6: Final answer
    x = 238,854.82

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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.