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Finding the Fourth Proportional to 295,825.34, 442,420.40 and 262,760.06

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Solution

The fourth proportional to 295,825.34, 442,420.40 and 262,760.06 is: 392,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,825.34 : 442,420.40 = 262,760.06 : x
  2. Step 2: Convert to fraction form
    295,825.34/442,420.40 = 262,760.06/x
  3. Step 3: Cross multiply
    295,825.34x = 442,420.40 × 262,760.06
  4. Step 4: Simplify right side
    295,825.34x = 116,250,410,849.22
  5. Step 5: Solve for x
    x = 116,250,410,849.22/295,825.34
  6. Step 6: Final answer
    x = 392,969.75

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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.