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Finding the Fourth Proportional to 277,254.77, 415,820.86 and 77,521.46

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Solution

The fourth proportional to 277,254.77, 415,820.86 and 77,521.46 is: 116,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,254.77 : 415,820.86 = 77,521.46 : x
  2. Step 2: Convert to fraction form
    277,254.77/415,820.86 = 77,521.46/x
  3. Step 3: Cross multiply
    277,254.77x = 415,820.86 × 77,521.46
  4. Step 4: Simplify right side
    277,254.77x = 32,235,037,892.75
  5. Step 5: Solve for x
    x = 32,235,037,892.75/277,254.77
  6. Step 6: Final answer
    x = 116,265.05

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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.