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Finding the Fourth Proportional to 468,938.08, 647,281.70 and 299,172.07

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Solution

The fourth proportional to 468,938.08, 647,281.70 and 299,172.07 is: 412,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,938.08 : 647,281.70 = 299,172.07 : x
  2. Step 2: Convert to fraction form
    468,938.08/647,281.70 = 299,172.07/x
  3. Step 3: Cross multiply
    468,938.08x = 647,281.70 × 299,172.07
  4. Step 4: Simplify right side
    468,938.08x = 193,648,606,062.12
  5. Step 5: Solve for x
    x = 193,648,606,062.12/468,938.08
  6. Step 6: Final answer
    x = 412,951.33

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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.