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Finding the Fourth Proportional to 508,512, 701,746.56 and 282,193.92

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Solution

The fourth proportional to 508,512, 701,746.56 and 282,193.92 is: 389,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,512 : 701,746.56 = 282,193.92 : x
  2. Step 2: Convert to fraction form
    508,512/701,746.56 = 282,193.92/x
  3. Step 3: Cross multiply
    508,512x = 701,746.56 × 282,193.92
  4. Step 4: Simplify right side
    508,512x = 198,028,612,612.92
  5. Step 5: Solve for x
    x = 198,028,612,612.92/508,512
  6. Step 6: Final answer
    x = 389,427.61

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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.