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Finding the Fourth Proportional to 591,434.38, 816,178.57 and 336,785.64

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Solution

The fourth proportional to 591,434.38, 816,178.57 and 336,785.64 is: 464,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,434.38 : 816,178.57 = 336,785.64 : x
  2. Step 2: Convert to fraction form
    591,434.38/816,178.57 = 336,785.64/x
  3. Step 3: Cross multiply
    591,434.38x = 816,178.57 × 336,785.64
  4. Step 4: Simplify right side
    591,434.38x = 274,877,222,051.74
  5. Step 5: Solve for x
    x = 274,877,222,051.74/591,434.38
  6. Step 6: Final answer
    x = 464,763.69

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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.