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Finding the Fourth Proportional to 277,239.89, 415,798.52 and 77,506.58

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Solution

The fourth proportional to 277,239.89, 415,798.52 and 77,506.58 is: 116,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,239.89 : 415,798.52 = 77,506.58 : x
  2. Step 2: Convert to fraction form
    277,239.89/415,798.52 = 77,506.58/x
  3. Step 3: Cross multiply
    277,239.89x = 415,798.52 × 77,506.58
  4. Step 4: Simplify right side
    277,239.89x = 32,227,121,448.03
  5. Step 5: Solve for x
    x = 32,227,121,448.03/277,239.89
  6. Step 6: Final answer
    x = 116,242.73

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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.