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Finding the Fourth Proportional to 510,042.36, 704,006.68 and 340,276.08

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Solution

The fourth proportional to 510,042.36, 704,006.68 and 340,276.08 is: 469,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,042.36 : 704,006.68 = 340,276.08 : x
  2. Step 2: Convert to fraction form
    510,042.36/704,006.68 = 340,276.08/x
  3. Step 3: Cross multiply
    510,042.36x = 704,006.68 × 340,276.08
  4. Step 4: Simplify right side
    510,042.36x = 239,556,633,364.21
  5. Step 5: Solve for x
    x = 239,556,633,364.21/510,042.36
  6. Step 6: Final answer
    x = 469,679.88

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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.