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Finding the Fourth Proportional to 365,694, 503,605.16 and 301,441.36

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Solution

The fourth proportional to 365,694, 503,605.16 and 301,441.36 is: 415,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,694 : 503,605.16 = 301,441.36 : x
  2. Step 2: Convert to fraction form
    365,694/503,605.16 = 301,441.36/x
  3. Step 3: Cross multiply
    365,694x = 503,605.16 × 301,441.36
  4. Step 4: Simplify right side
    365,694x = 151,807,424,333.42
  5. Step 5: Solve for x
    x = 151,807,424,333.42/365,694
  6. Step 6: Final answer
    x = 415,121.45

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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.