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Finding the Fourth Proportional to 508,360.32, 701,537.52 and 282,006

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Solution

The fourth proportional to 508,360.32, 701,537.52 and 282,006 is: 389,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,360.32 : 701,537.52 = 282,006 : x
  2. Step 2: Convert to fraction form
    508,360.32/701,537.52 = 282,006/x
  3. Step 3: Cross multiply
    508,360.32x = 701,537.52 × 282,006
  4. Step 4: Simplify right side
    508,360.32x = 197,837,789,865.12
  5. Step 5: Solve for x
    x = 197,837,789,865.12/508,360.32
  6. Step 6: Final answer
    x = 389,168.43

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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.