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Finding the Fourth Proportional to 277,927.20, 417,085.20 and 178,329.60

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Solution

The fourth proportional to 277,927.20, 417,085.20 and 178,329.60 is: 267,619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,927.20 : 417,085.20 = 178,329.60 : x
  2. Step 2: Convert to fraction form
    277,927.20/417,085.20 = 178,329.60/x
  3. Step 3: Cross multiply
    277,927.20x = 417,085.20 × 178,329.60
  4. Step 4: Simplify right side
    277,927.20x = 74,378,636,881.92
  5. Step 5: Solve for x
    x = 74,378,636,881.92/277,927.20
  6. Step 6: Final answer
    x = 267,619.14

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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.