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Finding the Fourth Proportional to 468,924.12, 647,114.40 and 254,070

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Solution

The fourth proportional to 468,924.12, 647,114.40 and 254,070 is: 350,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,924.12 : 647,114.40 = 254,070 : x
  2. Step 2: Convert to fraction form
    468,924.12/647,114.40 = 254,070/x
  3. Step 3: Cross multiply
    468,924.12x = 647,114.40 × 254,070
  4. Step 4: Simplify right side
    468,924.12x = 164,412,355,608
  5. Step 5: Solve for x
    x = 164,412,355,608/468,924.12
  6. Step 6: Final answer
    x = 350,616.12

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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.