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Finding the Fourth Proportional to 360,840.60, 497,947.74 and 199,702.44

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Solution

The fourth proportional to 360,840.60, 497,947.74 and 199,702.44 is: 275,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,840.60 : 497,947.74 = 199,702.44 : x
  2. Step 2: Convert to fraction form
    360,840.60/497,947.74 = 199,702.44/x
  3. Step 3: Cross multiply
    360,840.60x = 497,947.74 × 199,702.44
  4. Step 4: Simplify right side
    360,840.60x = 99,441,378,670.49
  5. Step 5: Solve for x
    x = 99,441,378,670.49/360,840.60
  6. Step 6: Final answer
    x = 275,582.57

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1.5x scale

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.