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Finding the Fourth Proportional to 295,599.37, 407,927.12 and 159,633.31

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Solution

The fourth proportional to 295,599.37, 407,927.12 and 159,633.31 is: 220,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,599.37 : 407,927.12 = 159,633.31 : x
  2. Step 2: Convert to fraction form
    295,599.37/407,927.12 = 159,633.31/x
  3. Step 3: Cross multiply
    295,599.37x = 407,927.12 × 159,633.31
  4. Step 4: Simplify right side
    295,599.37x = 65,118,754,765.16
  5. Step 5: Solve for x
    x = 65,118,754,765.16/295,599.37
  6. Step 6: Final answer
    x = 220,293.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.