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Finding the Fourth Proportional to 422,969.04, 583,695.72 and 261,792

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Solution

The fourth proportional to 422,969.04, 583,695.72 and 261,792 is: 361,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,969.04 : 583,695.72 = 261,792 : x
  2. Step 2: Convert to fraction form
    422,969.04/583,695.72 = 261,792/x
  3. Step 3: Cross multiply
    422,969.04x = 583,695.72 × 261,792
  4. Step 4: Simplify right side
    422,969.04x = 152,806,869,930.24
  5. Step 5: Solve for x
    x = 152,806,869,930.24/422,969.04
  6. Step 6: Final answer
    x = 361,272.00

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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.