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Finding the Fourth Proportional to 289,419.84, 399,395.88 and 168,580.80

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Solution

The fourth proportional to 289,419.84, 399,395.88 and 168,580.80 is: 232,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,419.84 : 399,395.88 = 168,580.80 : x
  2. Step 2: Convert to fraction form
    289,419.84/399,395.88 = 168,580.80/x
  3. Step 3: Cross multiply
    289,419.84x = 399,395.88 × 168,580.80
  4. Step 4: Simplify right side
    289,419.84x = 67,330,476,967.10
  5. Step 5: Solve for x
    x = 67,330,476,967.10/289,419.84
  6. Step 6: Final answer
    x = 232,639.47

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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.