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Finding the Fourth Proportional to 510,827.66, 704,942.12 and 296,092.28

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Solution

The fourth proportional to 510,827.66, 704,942.12 and 296,092.28 is: 408,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,827.66 : 704,942.12 = 296,092.28 : x
  2. Step 2: Convert to fraction form
    510,827.66/704,942.12 = 296,092.28/x
  3. Step 3: Cross multiply
    510,827.66x = 704,942.12 × 296,092.28
  4. Step 4: Simplify right side
    510,827.66x = 208,727,918,098.37
  5. Step 5: Solve for x
    x = 208,727,918,098.37/510,827.66
  6. Step 6: Final answer
    x = 408,607.32

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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.