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Finding the Fourth Proportional to 266,283.17, 399,548.24 and 116,503.71

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Solution

The fourth proportional to 266,283.17, 399,548.24 and 116,503.71 is: 174,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,283.17 : 399,548.24 = 116,503.71 : x
  2. Step 2: Convert to fraction form
    266,283.17/399,548.24 = 116,503.71/x
  3. Step 3: Cross multiply
    266,283.17x = 399,548.24 × 116,503.71
  4. Step 4: Simplify right side
    266,283.17x = 46,548,852,283.97
  5. Step 5: Solve for x
    x = 46,548,852,283.97/266,283.17
  6. Step 6: Final answer
    x = 174,809.59

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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.