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Finding the Fourth Proportional to 510,727.68, 704,799.36 and 284,359.68

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Solution

The fourth proportional to 510,727.68, 704,799.36 and 284,359.68 is: 392,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,727.68 : 704,799.36 = 284,359.68 : x
  2. Step 2: Convert to fraction form
    510,727.68/704,799.36 = 284,359.68/x
  3. Step 3: Cross multiply
    510,727.68x = 704,799.36 × 284,359.68
  4. Step 4: Simplify right side
    510,727.68x = 200,416,520,473.81
  5. Step 5: Solve for x
    x = 200,416,520,473.81/510,727.68
  6. Step 6: Final answer
    x = 392,413.66

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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.