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Finding the Fourth Proportional to 275,439, 413,333.28 and 117,668.64

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Solution

The fourth proportional to 275,439, 413,333.28 and 117,668.64 is: 176,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,439 : 413,333.28 = 117,668.64 : x
  2. Step 2: Convert to fraction form
    275,439/413,333.28 = 117,668.64/x
  3. Step 3: Cross multiply
    275,439x = 413,333.28 × 117,668.64
  4. Step 4: Simplify right side
    275,439x = 48,636,364,924.34
  5. Step 5: Solve for x
    x = 48,636,364,924.34/275,439
  6. Step 6: Final answer
    x = 176,577.63

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Why These Related Problems?

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