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Finding the Fourth Proportional to 277,394.09, 416,114.86 and 97,463.88

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Solution

The fourth proportional to 277,394.09, 416,114.86 and 97,463.88 is: 146,204.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,394.09 : 416,114.86 = 97,463.88 : x
  2. Step 2: Convert to fraction form
    277,394.09/416,114.86 = 97,463.88/x
  3. Step 3: Cross multiply
    277,394.09x = 416,114.86 × 97,463.88
  4. Step 4: Simplify right side
    277,394.09x = 40,556,167,253.65
  5. Step 5: Solve for x
    x = 40,556,167,253.65/277,394.09
  6. Step 6: Final answer
    x = 146,204.15

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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.