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Finding the Fourth Proportional to 382,205.64, 527,442.28 and 210,134.45

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Solution

The fourth proportional to 382,205.64, 527,442.28 and 210,134.45 is: 289,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,205.64 : 527,442.28 = 210,134.45 : x
  2. Step 2: Convert to fraction form
    382,205.64/527,442.28 = 210,134.45/x
  3. Step 3: Cross multiply
    382,205.64x = 527,442.28 × 210,134.45
  4. Step 4: Simplify right side
    382,205.64x = 110,833,795,389.82
  5. Step 5: Solve for x
    x = 110,833,795,389.82/382,205.64
  6. Step 6: Final answer
    x = 289,984.72

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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.