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Finding the Fourth Proportional to 507,085.68, 699,751.60 and 277,599

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Solution

The fourth proportional to 507,085.68, 699,751.60 and 277,599 is: 383,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,085.68 : 699,751.60 = 277,599 : x
  2. Step 2: Convert to fraction form
    507,085.68/699,751.60 = 277,599/x
  3. Step 3: Cross multiply
    507,085.68x = 699,751.60 × 277,599
  4. Step 4: Simplify right side
    507,085.68x = 194,250,344,408.40
  5. Step 5: Solve for x
    x = 194,250,344,408.40/507,085.68
  6. Step 6: Final answer
    x = 383,072.04

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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.