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Finding the Fourth Proportional to 497,016, 685,946.88 and 295,812

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Solution

The fourth proportional to 497,016, 685,946.88 and 295,812 is: 408,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,016 : 685,946.88 = 295,812 : x
  2. Step 2: Convert to fraction form
    497,016/685,946.88 = 295,812/x
  3. Step 3: Cross multiply
    497,016x = 685,946.88 × 295,812
  4. Step 4: Simplify right side
    497,016x = 202,911,318,466.56
  5. Step 5: Solve for x
    x = 202,911,318,466.56/497,016
  6. Step 6: Final answer
    x = 408,259.13

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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.