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Finding the Fourth Proportional to 510,422.36, 704,423.54 and 295,566.22

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Solution

The fourth proportional to 510,422.36, 704,423.54 and 295,566.22 is: 407,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,422.36 : 704,423.54 = 295,566.22 : x
  2. Step 2: Convert to fraction form
    510,422.36/704,423.54 = 295,566.22/x
  3. Step 3: Cross multiply
    510,422.36x = 704,423.54 × 295,566.22
  4. Step 4: Simplify right side
    510,422.36x = 208,203,802,996.82
  5. Step 5: Solve for x
    x = 208,203,802,996.82/510,422.36
  6. Step 6: Final answer
    x = 407,904.94

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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.