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Finding the Fourth Proportional to 277,839.17, 383,381.38 and 175,684.40

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Solution

The fourth proportional to 277,839.17, 383,381.38 and 175,684.40 is: 242,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,839.17 : 383,381.38 = 175,684.40 : x
  2. Step 2: Convert to fraction form
    277,839.17/383,381.38 = 175,684.40/x
  3. Step 3: Cross multiply
    277,839.17x = 383,381.38 × 175,684.40
  4. Step 4: Simplify right side
    277,839.17x = 67,354,127,716.47
  5. Step 5: Solve for x
    x = 67,354,127,716.47/277,839.17
  6. Step 6: Final answer
    x = 242,421.28

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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.