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Finding the Fourth Proportional to 383,141.80, 574,712.70 and 98,831.80

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Solution

The fourth proportional to 383,141.80, 574,712.70 and 98,831.80 is: 148,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,141.80 : 574,712.70 = 98,831.80 : x
  2. Step 2: Convert to fraction form
    383,141.80/574,712.70 = 98,831.80/x
  3. Step 3: Cross multiply
    383,141.80x = 574,712.70 × 98,831.80
  4. Step 4: Simplify right side
    383,141.80x = 56,799,890,623.86
  5. Step 5: Solve for x
    x = 56,799,890,623.86/383,141.80
  6. Step 6: Final answer
    x = 148,247.70

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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.