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Finding the Fourth Proportional to 297,515.95, 446,288.27 and 97,831.91

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Solution

The fourth proportional to 297,515.95, 446,288.27 and 97,831.91 is: 146,752.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,515.95 : 446,288.27 = 97,831.91 : x
  2. Step 2: Convert to fraction form
    297,515.95/446,288.27 = 97,831.91/x
  3. Step 3: Cross multiply
    297,515.95x = 446,288.27 × 97,831.91
  4. Step 4: Simplify right side
    297,515.95x = 43,661,233,375.54
  5. Step 5: Solve for x
    x = 43,661,233,375.54/297,515.95
  6. Step 6: Final answer
    x = 146,752.58

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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.