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Finding the Fourth Proportional to 804,738, 1,207,255.68 and 265,024.56

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Solution

The fourth proportional to 804,738, 1,207,255.68 and 265,024.56 is: 397,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,738 : 1,207,255.68 = 265,024.56 : x
  2. Step 2: Convert to fraction form
    804,738/1,207,255.68 = 265,024.56/x
  3. Step 3: Cross multiply
    804,738x = 1,207,255.68 × 265,024.56
  4. Step 4: Simplify right side
    804,738x = 319,952,405,399.50
  5. Step 5: Solve for x
    x = 319,952,405,399.50/804,738
  6. Step 6: Final answer
    x = 397,585.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.