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Finding the Fourth Proportional to 253,574.50, 380,219.46 and 173,702.74

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Solution

The fourth proportional to 253,574.50, 380,219.46 and 173,702.74 is: 260,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,574.50 : 380,219.46 = 173,702.74 : x
  2. Step 2: Convert to fraction form
    253,574.50/380,219.46 = 173,702.74/x
  3. Step 3: Cross multiply
    253,574.50x = 380,219.46 × 173,702.74
  4. Step 4: Simplify right side
    253,574.50x = 66,045,162,003.32
  5. Step 5: Solve for x
    x = 66,045,162,003.32/253,574.50
  6. Step 6: Final answer
    x = 260,456.64

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