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Finding the Fourth Proportional to 277,254.36, 415,831.44 and 77,525.40

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Solution

The fourth proportional to 277,254.36, 415,831.44 and 77,525.40 is: 116,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,254.36 : 415,831.44 = 77,525.40 : x
  2. Step 2: Convert to fraction form
    277,254.36/415,831.44 = 77,525.40/x
  3. Step 3: Cross multiply
    277,254.36x = 415,831.44 × 77,525.40
  4. Step 4: Simplify right side
    277,254.36x = 32,237,498,718.58
  5. Step 5: Solve for x
    x = 32,237,498,718.58/277,254.36
  6. Step 6: Final answer
    x = 116,274.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.