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Finding the Fourth Proportional to 802,194.10, 1,202,999.55 and 402,702.10

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Solution

The fourth proportional to 802,194.10, 1,202,999.55 and 402,702.10 is: 603,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,194.10 : 1,202,999.55 = 402,702.10 : x
  2. Step 2: Convert to fraction form
    802,194.10/1,202,999.55 = 402,702.10/x
  3. Step 3: Cross multiply
    802,194.10x = 1,202,999.55 × 402,702.10
  4. Step 4: Simplify right side
    802,194.10x = 484,450,445,084.06
  5. Step 5: Solve for x
    x = 484,450,445,084.06/802,194.10
  6. Step 6: Final answer
    x = 603,906.77

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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.