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Finding the Fourth Proportional to 506,677.06, 699,227.31 and 305,486.02

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Solution

The fourth proportional to 506,677.06, 699,227.31 and 305,486.02 is: 421,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,677.06 : 699,227.31 = 305,486.02 : x
  2. Step 2: Convert to fraction form
    506,677.06/699,227.31 = 305,486.02/x
  3. Step 3: Cross multiply
    506,677.06x = 699,227.31 × 305,486.02
  4. Step 4: Simplify right side
    506,677.06x = 213,604,168,007.21
  5. Step 5: Solve for x
    x = 213,604,168,007.21/506,677.06
  6. Step 6: Final answer
    x = 421,578.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.