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Finding the Fourth Proportional to 382,238.40, 527,443.16 and 210,127.98

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Solution

The fourth proportional to 382,238.40, 527,443.16 and 210,127.98 is: 289,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,238.40 : 527,443.16 = 210,127.98 : x
  2. Step 2: Convert to fraction form
    382,238.40/527,443.16 = 210,127.98/x
  3. Step 3: Cross multiply
    382,238.40x = 527,443.16 × 210,127.98
  4. Step 4: Simplify right side
    382,238.40x = 110,830,564,724.98
  5. Step 5: Solve for x
    x = 110,830,564,724.98/382,238.40
  6. Step 6: Final answer
    x = 289,951.41

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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.