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Finding the Fourth Proportional to 497,079.32, 685,945.90 and 282,191

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Solution

The fourth proportional to 497,079.32, 685,945.90 and 282,191 is: 389,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,079.32 : 685,945.90 = 282,191 : x
  2. Step 2: Convert to fraction form
    497,079.32/685,945.90 = 282,191/x
  3. Step 3: Cross multiply
    497,079.32x = 685,945.90 × 282,191
  4. Step 4: Simplify right side
    497,079.32x = 193,567,759,466.90
  5. Step 5: Solve for x
    x = 193,567,759,466.90/497,079.32
  6. Step 6: Final answer
    x = 389,410.20

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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.