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Finding the Fourth Proportional to 277,844.59, 383,284.60 and 175,697.92

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Solution

The fourth proportional to 277,844.59, 383,284.60 and 175,697.92 is: 242,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,844.59 : 383,284.60 = 175,697.92 : x
  2. Step 2: Convert to fraction form
    277,844.59/383,284.60 = 175,697.92/x
  3. Step 3: Cross multiply
    277,844.59x = 383,284.60 × 175,697.92
  4. Step 4: Simplify right side
    277,844.59x = 67,342,306,988.03
  5. Step 5: Solve for x
    x = 67,342,306,988.03/277,844.59
  6. Step 6: Final answer
    x = 242,374.01

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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.