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Finding the Fourth Proportional to 511,670.83, 706,093.39 and 282,223.20

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Solution

The fourth proportional to 511,670.83, 706,093.39 and 282,223.20 is: 389,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,670.83 : 706,093.39 = 282,223.20 : x
  2. Step 2: Convert to fraction form
    511,670.83/706,093.39 = 282,223.20/x
  3. Step 3: Cross multiply
    511,670.83x = 706,093.39 × 282,223.20
  4. Step 4: Simplify right side
    511,670.83x = 199,275,934,756.59
  5. Step 5: Solve for x
    x = 199,275,934,756.59/511,670.83
  6. Step 6: Final answer
    x = 389,461.20

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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.