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Finding the Fourth Proportional to 510,802.73, 704,907.75 and 296,067.35

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Solution

The fourth proportional to 510,802.73, 704,907.75 and 296,067.35 is: 408,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,802.73 : 704,907.75 = 296,067.35 : x
  2. Step 2: Convert to fraction form
    510,802.73/704,907.75 = 296,067.35/x
  3. Step 3: Cross multiply
    510,802.73x = 704,907.75 × 296,067.35
  4. Step 4: Simplify right side
    510,802.73x = 208,700,169,536.96
  5. Step 5: Solve for x
    x = 208,700,169,536.96/510,802.73
  6. Step 6: Final answer
    x = 408,572.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.