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Finding the Fourth Proportional to 497,012.64, 685,885.28 and 270,657.92

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Solution

The fourth proportional to 497,012.64, 685,885.28 and 270,657.92 is: 373,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,012.64 : 685,885.28 = 270,657.92 : x
  2. Step 2: Convert to fraction form
    497,012.64/685,885.28 = 270,657.92/x
  3. Step 3: Cross multiply
    497,012.64x = 685,885.28 × 270,657.92
  4. Step 4: Simplify right side
    497,012.64x = 185,640,283,243.42
  5. Step 5: Solve for x
    x = 185,640,283,243.42/497,012.64
  6. Step 6: Final answer
    x = 373,512.20

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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.