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Finding the Fourth Proportional to 297,950.80, 446,831.40 and 98,233.96

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Solution

The fourth proportional to 297,950.80, 446,831.40 and 98,233.96 is: 147,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,950.80 : 446,831.40 = 98,233.96 : x
  2. Step 2: Convert to fraction form
    297,950.80/446,831.40 = 98,233.96/x
  3. Step 3: Cross multiply
    297,950.80x = 446,831.40 × 98,233.96
  4. Step 4: Simplify right side
    297,950.80x = 43,894,017,874.34
  5. Step 5: Solve for x
    x = 43,894,017,874.34/297,950.80
  6. Step 6: Final answer
    x = 147,319.68

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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.