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Finding the Fourth Proportional to 277,245.36, 415,894.23 and 77,565.78

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Solution

The fourth proportional to 277,245.36, 415,894.23 and 77,565.78 is: 116,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,245.36 : 415,894.23 = 77,565.78 : x
  2. Step 2: Convert to fraction form
    277,245.36/415,894.23 = 77,565.78/x
  3. Step 3: Cross multiply
    277,245.36x = 415,894.23 × 77,565.78
  4. Step 4: Simplify right side
    277,245.36x = 32,259,160,347.45
  5. Step 5: Solve for x
    x = 32,259,160,347.45/277,245.36
  6. Step 6: Final answer
    x = 116,356.00

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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.