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Finding the Fourth Proportional to 382,086.90, 527,284.70 and 210,023.65

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Solution

The fourth proportional to 382,086.90, 527,284.70 and 210,023.65 is: 289,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,086.90 : 527,284.70 = 210,023.65 : x
  2. Step 2: Convert to fraction form
    382,086.90/527,284.70 = 210,023.65/x
  3. Step 3: Cross multiply
    382,086.90x = 527,284.70 × 210,023.65
  4. Step 4: Simplify right side
    382,086.90x = 110,742,257,283.16
  5. Step 5: Solve for x
    x = 110,742,257,283.16/382,086.90
  6. Step 6: Final answer
    x = 289,835.26

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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.