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Finding the Fourth Proportional to 377,433.86, 520,660.17 and 224,363.18

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Solution

The fourth proportional to 377,433.86, 520,660.17 and 224,363.18 is: 309,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,433.86 : 520,660.17 = 224,363.18 : x
  2. Step 2: Convert to fraction form
    377,433.86/520,660.17 = 224,363.18/x
  3. Step 3: Cross multiply
    377,433.86x = 520,660.17 × 224,363.18
  4. Step 4: Simplify right side
    377,433.86x = 116,816,971,440.54
  5. Step 5: Solve for x
    x = 116,816,971,440.54/377,433.86
  6. Step 6: Final answer
    x = 309,503.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.