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Finding the Fourth Proportional to 463,969.72, 640,258.84 and 262,765.72

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Solution

The fourth proportional to 463,969.72, 640,258.84 and 262,765.72 is: 362,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,969.72 : 640,258.84 = 262,765.72 : x
  2. Step 2: Convert to fraction form
    463,969.72/640,258.84 = 262,765.72/x
  3. Step 3: Cross multiply
    463,969.72x = 640,258.84 × 262,765.72
  4. Step 4: Simplify right side
    463,969.72x = 168,238,075,078.97
  5. Step 5: Solve for x
    x = 168,238,075,078.97/463,969.72
  6. Step 6: Final answer
    x = 362,605.72

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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.