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Finding the Fourth Proportional to 289,430.40, 434,214.58 and 99,892.42

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Solution

The fourth proportional to 289,430.40, 434,214.58 and 99,892.42 is: 149,862.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,430.40 : 434,214.58 = 99,892.42 : x
  2. Step 2: Convert to fraction form
    289,430.40/434,214.58 = 99,892.42/x
  3. Step 3: Cross multiply
    289,430.40x = 434,214.58 × 99,892.42
  4. Step 4: Simplify right side
    289,430.40x = 43,374,745,960.35
  5. Step 5: Solve for x
    x = 43,374,745,960.35/289,430.40
  6. Step 6: Final answer
    x = 149,862.44

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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.