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Finding the Fourth Proportional to 419,372.94, 578,714.08 and 238,060.63

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Solution

The fourth proportional to 419,372.94, 578,714.08 and 238,060.63 is: 328,511.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,372.94 : 578,714.08 = 238,060.63 : x
  2. Step 2: Convert to fraction form
    419,372.94/578,714.08 = 238,060.63/x
  3. Step 3: Cross multiply
    419,372.94x = 578,714.08 × 238,060.63
  4. Step 4: Simplify right side
    419,372.94x = 137,769,038,474.67
  5. Step 5: Solve for x
    x = 137,769,038,474.67/419,372.94
  6. Step 6: Final answer
    x = 328,511.99

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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.