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Finding the Fourth Proportional to 463,411.11, 694,678.38 and 349,381.99

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Solution

The fourth proportional to 463,411.11, 694,678.38 and 349,381.99 is: 523,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,411.11 : 694,678.38 = 349,381.99 : x
  2. Step 2: Convert to fraction form
    463,411.11/694,678.38 = 349,381.99/x
  3. Step 3: Cross multiply
    463,411.11x = 694,678.38 × 349,381.99
  4. Step 4: Simplify right side
    463,411.11x = 242,708,111,767.50
  5. Step 5: Solve for x
    x = 242,708,111,767.50/463,411.11
  6. Step 6: Final answer
    x = 523,742.54

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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.