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Finding the Fourth Proportional to 433,816.90, 650,483.94 and 134,214.10

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Solution

The fourth proportional to 433,816.90, 650,483.94 and 134,214.10 is: 201,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,816.90 : 650,483.94 = 134,214.10 : x
  2. Step 2: Convert to fraction form
    433,816.90/650,483.94 = 134,214.10/x
  3. Step 3: Cross multiply
    433,816.90x = 650,483.94 × 134,214.10
  4. Step 4: Simplify right side
    433,816.90x = 87,304,116,571.55
  5. Step 5: Solve for x
    x = 87,304,116,571.55/433,816.90
  6. Step 6: Final answer
    x = 201,246.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.