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Finding the Fourth Proportional to 510,416.24, 704,415.08 and 295,560.09

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Solution

The fourth proportional to 510,416.24, 704,415.08 and 295,560.09 is: 407,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,416.24 : 704,415.08 = 295,560.09 : x
  2. Step 2: Convert to fraction form
    510,416.24/704,415.08 = 295,560.09/x
  3. Step 3: Cross multiply
    510,416.24x = 704,415.08 × 295,560.09
  4. Step 4: Simplify right side
    510,416.24x = 208,196,985,181.06
  5. Step 5: Solve for x
    x = 208,196,985,181.06/510,416.24
  6. Step 6: Final answer
    x = 407,896.48

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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.