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Finding the Fourth Proportional to 411,264.81, 566,283.76 and 359,990.60

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Solution

The fourth proportional to 411,264.81, 566,283.76 and 359,990.60 is: 495,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,264.81 : 566,283.76 = 359,990.60 : x
  2. Step 2: Convert to fraction form
    411,264.81/566,283.76 = 359,990.60/x
  3. Step 3: Cross multiply
    411,264.81x = 566,283.76 × 359,990.60
  4. Step 4: Simplify right side
    411,264.81x = 203,856,826,801.26
  5. Step 5: Solve for x
    x = 203,856,826,801.26/411,264.81
  6. Step 6: Final answer
    x = 495,682.64

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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.