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Finding the Fourth Proportional to 277,974.36, 383,605.20 and 164,804.40

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Solution

The fourth proportional to 277,974.36, 383,605.20 and 164,804.40 is: 227,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,974.36 : 383,605.20 = 164,804.40 : x
  2. Step 2: Convert to fraction form
    277,974.36/383,605.20 = 164,804.40/x
  3. Step 3: Cross multiply
    277,974.36x = 383,605.20 × 164,804.40
  4. Step 4: Simplify right side
    277,974.36x = 63,219,824,822.88
  5. Step 5: Solve for x
    x = 63,219,824,822.88/277,974.36
  6. Step 6: Final answer
    x = 227,430.42

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1.5x scale

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.