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Finding the Fourth Proportional to 400,702.90, 552,983.20 and 219,422.48

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Solution

The fourth proportional to 400,702.90, 552,983.20 and 219,422.48 is: 302,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,702.90 : 552,983.20 = 219,422.48 : x
  2. Step 2: Convert to fraction form
    400,702.90/552,983.20 = 219,422.48/x
  3. Step 3: Cross multiply
    400,702.90x = 552,983.20 × 219,422.48
  4. Step 4: Simplify right side
    400,702.90x = 121,336,945,142.34
  5. Step 5: Solve for x
    x = 121,336,945,142.34/400,702.90
  6. Step 6: Final answer
    x = 302,810.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.