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Finding the Fourth Proportional to 277,323.32, 415,887.66 and 77,590.04

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Solution

The fourth proportional to 277,323.32, 415,887.66 and 77,590.04 is: 116,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,323.32 : 415,887.66 = 77,590.04 : x
  2. Step 2: Convert to fraction form
    277,323.32/415,887.66 = 77,590.04/x
  3. Step 3: Cross multiply
    277,323.32x = 415,887.66 × 77,590.04
  4. Step 4: Simplify right side
    277,323.32x = 32,268,740,174.91
  5. Step 5: Solve for x
    x = 32,268,740,174.91/277,323.32
  6. Step 6: Final answer
    x = 116,357.83

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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.