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Finding the Fourth Proportional to 797,536.51, 1,099,978.10 and 511,083.25

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Solution

The fourth proportional to 797,536.51, 1,099,978.10 and 511,083.25 is: 704,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,536.51 : 1,099,978.10 = 511,083.25 : x
  2. Step 2: Convert to fraction form
    797,536.51/1,099,978.10 = 511,083.25/x
  3. Step 3: Cross multiply
    797,536.51x = 1,099,978.10 × 511,083.25
  4. Step 4: Simplify right side
    797,536.51x = 562,180,382,276.83
  5. Step 5: Solve for x
    x = 562,180,382,276.83/797,536.51
  6. Step 6: Final answer
    x = 704,896.11

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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.