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Finding the Fourth Proportional to 646,398, 969,702.06 and 191,035.44

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Solution

The fourth proportional to 646,398, 969,702.06 and 191,035.44 is: 286,584.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,398 : 969,702.06 = 191,035.44 : x
  2. Step 2: Convert to fraction form
    646,398/969,702.06 = 191,035.44/x
  3. Step 3: Cross multiply
    646,398x = 969,702.06 × 191,035.44
  4. Step 4: Simplify right side
    646,398x = 185,247,459,701.01
  5. Step 5: Solve for x
    x = 185,247,459,701.01/646,398
  6. Step 6: Final answer
    x = 286,584.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.