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Finding the Fourth Proportional to 510,422.24, 704,423.36 and 295,566.09

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Solution

The fourth proportional to 510,422.24, 704,423.36 and 295,566.09 is: 407,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,422.24 : 704,423.36 = 295,566.09 : x
  2. Step 2: Convert to fraction form
    510,422.24/704,423.36 = 295,566.09/x
  3. Step 3: Cross multiply
    510,422.24x = 704,423.36 × 295,566.09
  4. Step 4: Simplify right side
    510,422.24x = 208,203,658,958.78
  5. Step 5: Solve for x
    x = 208,203,658,958.78/510,422.24
  6. Step 6: Final answer
    x = 407,904.76

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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.