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Finding the Fourth Proportional to 402,207.88, 603,566.16 and 224,831.40

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Solution

The fourth proportional to 402,207.88, 603,566.16 and 224,831.40 is: 337,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,207.88 : 603,566.16 = 224,831.40 : x
  2. Step 2: Convert to fraction form
    402,207.88/603,566.16 = 224,831.40/x
  3. Step 3: Cross multiply
    402,207.88x = 603,566.16 × 224,831.40
  4. Step 4: Simplify right side
    402,207.88x = 135,700,624,745.42
  5. Step 5: Solve for x
    x = 135,700,624,745.42/402,207.88
  6. Step 6: Final answer
    x = 337,389.27

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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.