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Finding the Fourth Proportional to 294,775.40, 442,163.10 and 169,970.60

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Solution

The fourth proportional to 294,775.40, 442,163.10 and 169,970.60 is: 254,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,775.40 : 442,163.10 = 169,970.60 : x
  2. Step 2: Convert to fraction form
    294,775.40/442,163.10 = 169,970.60/x
  3. Step 3: Cross multiply
    294,775.40x = 442,163.10 × 169,970.60
  4. Step 4: Simplify right side
    294,775.40x = 75,154,727,404.86
  5. Step 5: Solve for x
    x = 75,154,727,404.86/294,775.40
  6. Step 6: Final answer
    x = 254,955.90

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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.