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Finding the Fourth Proportional to 511,914.34, 706,440.96 and 282,471.44

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Solution

The fourth proportional to 511,914.34, 706,440.96 and 282,471.44 is: 389,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,914.34 : 706,440.96 = 282,471.44 : x
  2. Step 2: Convert to fraction form
    511,914.34/706,440.96 = 282,471.44/x
  3. Step 3: Cross multiply
    511,914.34x = 706,440.96 × 282,471.44
  4. Step 4: Simplify right side
    511,914.34x = 199,549,395,953.02
  5. Step 5: Solve for x
    x = 199,549,395,953.02/511,914.34
  6. Step 6: Final answer
    x = 389,810.13

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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.