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Finding the Fourth Proportional to 510,813.12, 704,896.05 and 281,365.47

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Solution

The fourth proportional to 510,813.12, 704,896.05 and 281,365.47 is: 388,270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,813.12 : 704,896.05 = 281,365.47 : x
  2. Step 2: Convert to fraction form
    510,813.12/704,896.05 = 281,365.47/x
  3. Step 3: Cross multiply
    510,813.12x = 704,896.05 × 281,365.47
  4. Step 4: Simplify right side
    510,813.12x = 198,333,408,409.39
  5. Step 5: Solve for x
    x = 198,333,408,409.39/510,813.12
  6. Step 6: Final answer
    x = 388,270.00

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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.