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Finding the Fourth Proportional to 894,105.06, 1,233,897.42 and 512,205.65

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Solution

The fourth proportional to 894,105.06, 1,233,897.42 and 512,205.65 is: 706,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,105.06 : 1,233,897.42 = 512,205.65 : x
  2. Step 2: Convert to fraction form
    894,105.06/1,233,897.42 = 512,205.65/x
  3. Step 3: Cross multiply
    894,105.06x = 1,233,897.42 × 512,205.65
  4. Step 4: Simplify right side
    894,105.06x = 632,009,230,422.82
  5. Step 5: Solve for x
    x = 632,009,230,422.82/894,105.06
  6. Step 6: Final answer
    x = 706,862.38

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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.