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Finding the Fourth Proportional to 277,768.29, 383,307.59 and 174,455.83

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Solution

The fourth proportional to 277,768.29, 383,307.59 and 174,455.83 is: 240,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,768.29 : 383,307.59 = 174,455.83 : x
  2. Step 2: Convert to fraction form
    277,768.29/383,307.59 = 174,455.83/x
  3. Step 3: Cross multiply
    277,768.29x = 383,307.59 × 174,455.83
  4. Step 4: Simplify right side
    277,768.29x = 66,870,242,517.92
  5. Step 5: Solve for x
    x = 66,870,242,517.92/277,768.29
  6. Step 6: Final answer
    x = 240,741.10

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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.