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Finding the Fourth Proportional to 448,771.79, 619,243.81 and 257,785.18

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Solution

The fourth proportional to 448,771.79, 619,243.81 and 257,785.18 is: 355,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,771.79 : 619,243.81 = 257,785.18 : x
  2. Step 2: Convert to fraction form
    448,771.79/619,243.81 = 257,785.18/x
  3. Step 3: Cross multiply
    448,771.79x = 619,243.81 × 257,785.18
  4. Step 4: Simplify right side
    448,771.79x = 159,631,879,040.43
  5. Step 5: Solve for x
    x = 159,631,879,040.43/448,771.79
  6. Step 6: Final answer
    x = 355,708.36

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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.