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Finding the Fourth Proportional to 241,880.32, 333,678.72 and 208,288

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Solution

The fourth proportional to 241,880.32, 333,678.72 and 208,288 is: 287,337.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,880.32 : 333,678.72 = 208,288 : x
  2. Step 2: Convert to fraction form
    241,880.32/333,678.72 = 208,288/x
  3. Step 3: Cross multiply
    241,880.32x = 333,678.72 × 208,288
  4. Step 4: Simplify right side
    241,880.32x = 69,501,273,231.36
  5. Step 5: Solve for x
    x = 69,501,273,231.36/241,880.32
  6. Step 6: Final answer
    x = 287,337.45

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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.