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Finding the Fourth Proportional to 289,266.90, 433,900.35 and 76,034.40

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Solution

The fourth proportional to 289,266.90, 433,900.35 and 76,034.40 is: 114,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,266.90 : 433,900.35 = 76,034.40 : x
  2. Step 2: Convert to fraction form
    289,266.90/433,900.35 = 76,034.40/x
  3. Step 3: Cross multiply
    289,266.90x = 433,900.35 × 76,034.40
  4. Step 4: Simplify right side
    289,266.90x = 32,991,352,772.04
  5. Step 5: Solve for x
    x = 32,991,352,772.04/289,266.90
  6. Step 6: Final answer
    x = 114,051.60

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