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Finding the Fourth Proportional to 460,158.30, 686,541.27 and 409,638.60

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Solution

The fourth proportional to 460,158.30, 686,541.27 and 409,638.60 is: 611,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,158.30 : 686,541.27 = 409,638.60 : x
  2. Step 2: Convert to fraction form
    460,158.30/686,541.27 = 409,638.60/x
  3. Step 3: Cross multiply
    460,158.30x = 686,541.27 × 409,638.60
  4. Step 4: Simplify right side
    460,158.30x = 281,233,804,685.02
  5. Step 5: Solve for x
    x = 281,233,804,685.02/460,158.30
  6. Step 6: Final answer
    x = 611,167.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.