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Finding the Fourth Proportional to 419,116.34, 578,393.17 and 258,064.31

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Solution

The fourth proportional to 419,116.34, 578,393.17 and 258,064.31 is: 356,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,116.34 : 578,393.17 = 258,064.31 : x
  2. Step 2: Convert to fraction form
    419,116.34/578,393.17 = 258,064.31/x
  3. Step 3: Cross multiply
    419,116.34x = 578,393.17 × 258,064.31
  4. Step 4: Simplify right side
    419,116.34x = 149,262,630,787.64
  5. Step 5: Solve for x
    x = 149,262,630,787.64/419,116.34
  6. Step 6: Final answer
    x = 356,136.51

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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.