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Finding the Fourth Proportional to 614,091.84, 920,437.92 and 280,968

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Solution

The fourth proportional to 614,091.84, 920,437.92 and 280,968 is: 421,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,091.84 : 920,437.92 = 280,968 : x
  2. Step 2: Convert to fraction form
    614,091.84/920,437.92 = 280,968/x
  3. Step 3: Cross multiply
    614,091.84x = 920,437.92 × 280,968
  4. Step 4: Simplify right side
    614,091.84x = 258,613,601,506.56
  5. Step 5: Solve for x
    x = 258,613,601,506.56/614,091.84
  6. Step 6: Final answer
    x = 421,131.80

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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.