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Finding the Fourth Proportional to 266,284.35, 399,434.72 and 116,447.51

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Solution

The fourth proportional to 266,284.35, 399,434.72 and 116,447.51 is: 174,674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,284.35 : 399,434.72 = 116,447.51 : x
  2. Step 2: Convert to fraction form
    266,284.35/399,434.72 = 116,447.51/x
  3. Step 3: Cross multiply
    266,284.35x = 399,434.72 × 116,447.51
  4. Step 4: Simplify right side
    266,284.35x = 46,513,177,261.84
  5. Step 5: Solve for x
    x = 46,513,177,261.84/266,284.35
  6. Step 6: Final answer
    x = 174,674.85

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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.