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Finding the Fourth Proportional to 277,152.72, 382,617.72 and 213,350.64

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Solution

The fourth proportional to 277,152.72, 382,617.72 and 213,350.64 is: 294,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,152.72 : 382,617.72 = 213,350.64 : x
  2. Step 2: Convert to fraction form
    277,152.72/382,617.72 = 213,350.64/x
  3. Step 3: Cross multiply
    277,152.72x = 382,617.72 × 213,350.64
  4. Step 4: Simplify right side
    277,152.72x = 81,631,735,437.34
  5. Step 5: Solve for x
    x = 81,631,735,437.34/277,152.72
  6. Step 6: Final answer
    x = 294,537.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.