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Finding the Fourth Proportional to 382,311.54, 527,603.40 and 210,242.58

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Solution

The fourth proportional to 382,311.54, 527,603.40 and 210,242.58 is: 290,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,311.54 : 527,603.40 = 210,242.58 : x
  2. Step 2: Convert to fraction form
    382,311.54/527,603.40 = 210,242.58/x
  3. Step 3: Cross multiply
    382,311.54x = 527,603.40 × 210,242.58
  4. Step 4: Simplify right side
    382,311.54x = 110,924,700,032.77
  5. Step 5: Solve for x
    x = 110,924,700,032.77/382,311.54
  6. Step 6: Final answer
    x = 290,142.17

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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.