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Finding the Fourth Proportional to 277,254.88, 415,908.50 and 77,575.28

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Solution

The fourth proportional to 277,254.88, 415,908.50 and 77,575.28 is: 116,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,254.88 : 415,908.50 = 77,575.28 : x
  2. Step 2: Convert to fraction form
    277,254.88/415,908.50 = 77,575.28/x
  3. Step 3: Cross multiply
    277,254.88x = 415,908.50 × 77,575.28
  4. Step 4: Simplify right side
    277,254.88x = 32,264,218,341.88
  5. Step 5: Solve for x
    x = 32,264,218,341.88/277,254.88
  6. Step 6: Final answer
    x = 116,370.25

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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.