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Finding the Fourth Proportional to 277,841.32, 416,306.34 and 117,789.36

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Solution

The fourth proportional to 277,841.32, 416,306.34 and 117,789.36 is: 176,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,841.32 : 416,306.34 = 117,789.36 : x
  2. Step 2: Convert to fraction form
    277,841.32/416,306.34 = 117,789.36/x
  3. Step 3: Cross multiply
    277,841.32x = 416,306.34 × 117,789.36
  4. Step 4: Simplify right side
    277,841.32x = 49,036,457,352.54
  5. Step 5: Solve for x
    x = 49,036,457,352.54/277,841.32
  6. Step 6: Final answer
    x = 176,490.87

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1.5x scale

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.