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Finding the Fourth Proportional to 705,878.30, 1,058,817.45 and 200,438.30

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Solution

The fourth proportional to 705,878.30, 1,058,817.45 and 200,438.30 is: 300,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,878.30 : 1,058,817.45 = 200,438.30 : x
  2. Step 2: Convert to fraction form
    705,878.30/1,058,817.45 = 200,438.30/x
  3. Step 3: Cross multiply
    705,878.30x = 1,058,817.45 × 200,438.30
  4. Step 4: Simplify right side
    705,878.30x = 212,227,569,688.34
  5. Step 5: Solve for x
    x = 212,227,569,688.34/705,878.30
  6. Step 6: Final answer
    x = 300,657.45

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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.