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Finding the Fourth Proportional to 277,523.61, 416,451.50 and 119,752.07

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Solution

The fourth proportional to 277,523.61, 416,451.50 and 119,752.07 is: 179,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,523.61 : 416,451.50 = 119,752.07 : x
  2. Step 2: Convert to fraction form
    277,523.61/416,451.50 = 119,752.07/x
  3. Step 3: Cross multiply
    277,523.61x = 416,451.50 × 119,752.07
  4. Step 4: Simplify right side
    277,523.61x = 49,870,926,498.59
  5. Step 5: Solve for x
    x = 49,870,926,498.59/277,523.61
  6. Step 6: Final answer
    x = 179,699.76

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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.