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Finding the Fourth Proportional to 666,097.16, 919,195.26 and 364,284.68

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Solution

The fourth proportional to 666,097.16, 919,195.26 and 364,284.68 is: 502,702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,097.16 : 919,195.26 = 364,284.68 : x
  2. Step 2: Convert to fraction form
    666,097.16/919,195.26 = 364,284.68/x
  3. Step 3: Cross multiply
    666,097.16x = 919,195.26 × 364,284.68
  4. Step 4: Simplify right side
    666,097.16x = 334,848,751,146.62
  5. Step 5: Solve for x
    x = 334,848,751,146.62/666,097.16
  6. Step 6: Final answer
    x = 502,702.57

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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.