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Finding the Fourth Proportional to 277,033.60, 414,513.60 and 183,721.60

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Solution

The fourth proportional to 277,033.60, 414,513.60 and 183,721.60 is: 274,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,033.60 : 414,513.60 = 183,721.60 : x
  2. Step 2: Convert to fraction form
    277,033.60/414,513.60 = 183,721.60/x
  3. Step 3: Cross multiply
    277,033.60x = 414,513.60 × 183,721.60
  4. Step 4: Simplify right side
    277,033.60x = 76,155,101,813.76
  5. Step 5: Solve for x
    x = 76,155,101,813.76/277,033.60
  6. Step 6: Final answer
    x = 274,894.82

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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.