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Finding the Fourth Proportional to 265,477.46, 398,274.47 and 195,143.54

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Solution

The fourth proportional to 265,477.46, 398,274.47 and 195,143.54 is: 292,758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,477.46 : 398,274.47 = 195,143.54 : x
  2. Step 2: Convert to fraction form
    265,477.46/398,274.47 = 195,143.54/x
  3. Step 3: Cross multiply
    265,477.46x = 398,274.47 × 195,143.54
  4. Step 4: Simplify right side
    265,477.46x = 77,720,687,000.33
  5. Step 5: Solve for x
    x = 77,720,687,000.33/265,477.46
  6. Step 6: Final answer
    x = 292,758.14

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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.