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Finding the Fourth Proportional to 295,497.80, 442,958.70 and 169,008.20

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Solution

The fourth proportional to 295,497.80, 442,958.70 and 169,008.20 is: 253,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,497.80 : 442,958.70 = 169,008.20 : x
  2. Step 2: Convert to fraction form
    295,497.80/442,958.70 = 169,008.20/x
  3. Step 3: Cross multiply
    295,497.80x = 442,958.70 × 169,008.20
  4. Step 4: Simplify right side
    295,497.80x = 74,863,652,561.34
  5. Step 5: Solve for x
    x = 74,863,652,561.34/295,497.80
  6. Step 6: Final answer
    x = 253,347.58

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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.