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Finding the Fourth Proportional to 510,405.60, 704,345.04 and 284,046.24

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Solution

The fourth proportional to 510,405.60, 704,345.04 and 284,046.24 is: 391,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,405.60 : 704,345.04 = 284,046.24 : x
  2. Step 2: Convert to fraction form
    510,405.60/704,345.04 = 284,046.24/x
  3. Step 3: Cross multiply
    510,405.60x = 704,345.04 × 284,046.24
  4. Step 4: Simplify right side
    510,405.60x = 200,066,560,274.65
  5. Step 5: Solve for x
    x = 200,066,560,274.65/510,405.60
  6. Step 6: Final answer
    x = 391,975.64

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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.