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Finding the Fourth Proportional to 420,416.32, 580,193.44 and 236,718.16

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Solution

The fourth proportional to 420,416.32, 580,193.44 and 236,718.16 is: 326,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,416.32 : 580,193.44 = 236,718.16 : x
  2. Step 2: Convert to fraction form
    420,416.32/580,193.44 = 236,718.16/x
  3. Step 3: Cross multiply
    420,416.32x = 580,193.44 × 236,718.16
  4. Step 4: Simplify right side
    420,416.32x = 137,342,323,560.87
  5. Step 5: Solve for x
    x = 137,342,323,560.87/420,416.32
  6. Step 6: Final answer
    x = 326,681.71

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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.