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Finding the Fourth Proportional to 448,207.97, 618,503.14 and 257,208.75

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Solution

The fourth proportional to 448,207.97, 618,503.14 and 257,208.75 is: 354,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,207.97 : 618,503.14 = 257,208.75 : x
  2. Step 2: Convert to fraction form
    448,207.97/618,503.14 = 257,208.75/x
  3. Step 3: Cross multiply
    448,207.97x = 618,503.14 × 257,208.75
  4. Step 4: Simplify right side
    448,207.97x = 159,084,419,831.99
  5. Step 5: Solve for x
    x = 159,084,419,831.99/448,207.97
  6. Step 6: Final answer
    x = 354,934.39

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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.