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Finding the Fourth Proportional to 312,266.56, 430,705.20 and 191,436.16

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Solution

The fourth proportional to 312,266.56, 430,705.20 and 191,436.16 is: 264,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,266.56 : 430,705.20 = 191,436.16 : x
  2. Step 2: Convert to fraction form
    312,266.56/430,705.20 = 191,436.16/x
  3. Step 3: Cross multiply
    312,266.56x = 430,705.20 × 191,436.16
  4. Step 4: Simplify right side
    312,266.56x = 82,452,549,580.03
  5. Step 5: Solve for x
    x = 82,452,549,580.03/312,266.56
  6. Step 6: Final answer
    x = 264,045.40

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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.