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Finding the Fourth Proportional to 295,665.30, 443,497.95 and 145,928.70

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Solution

The fourth proportional to 295,665.30, 443,497.95 and 145,928.70 is: 218,893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,665.30 : 443,497.95 = 145,928.70 : x
  2. Step 2: Convert to fraction form
    295,665.30/443,497.95 = 145,928.70/x
  3. Step 3: Cross multiply
    295,665.30x = 443,497.95 × 145,928.70
  4. Step 4: Simplify right side
    295,665.30x = 64,719,079,296.17
  5. Step 5: Solve for x
    x = 64,719,079,296.17/295,665.30
  6. Step 6: Final answer
    x = 218,893.05

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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.