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Finding the Fourth Proportional to 295,969.82, 443,816.70 and 153,776.87

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Solution

The fourth proportional to 295,969.82, 443,816.70 and 153,776.87 is: 230,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,969.82 : 443,816.70 = 153,776.87 : x
  2. Step 2: Convert to fraction form
    295,969.82/443,816.70 = 153,776.87/x
  3. Step 3: Cross multiply
    295,969.82x = 443,816.70 × 153,776.87
  4. Step 4: Simplify right side
    295,969.82x = 68,248,742,979.73
  5. Step 5: Solve for x
    x = 68,248,742,979.73/295,969.82
  6. Step 6: Final answer
    x = 230,593.59

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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.