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Finding the Fourth Proportional to 448,097.52, 618,241.92 and 266,664

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Solution

The fourth proportional to 448,097.52, 618,241.92 and 266,664 is: 367,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,097.52 : 618,241.92 = 266,664 : x
  2. Step 2: Convert to fraction form
    448,097.52/618,241.92 = 266,664/x
  3. Step 3: Cross multiply
    448,097.52x = 618,241.92 × 266,664
  4. Step 4: Simplify right side
    448,097.52x = 164,862,863,354.88
  5. Step 5: Solve for x
    x = 164,862,863,354.88/448,097.52
  6. Step 6: Final answer
    x = 367,917.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.