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Finding the Fourth Proportional to 460,954.20, 691,431.30 and 411,965.40

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Solution

The fourth proportional to 460,954.20, 691,431.30 and 411,965.40 is: 617,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,954.20 : 691,431.30 = 411,965.40 : x
  2. Step 2: Convert to fraction form
    460,954.20/691,431.30 = 411,965.40/x
  3. Step 3: Cross multiply
    460,954.20x = 691,431.30 × 411,965.40
  4. Step 4: Simplify right side
    460,954.20x = 284,845,772,077.02
  5. Step 5: Solve for x
    x = 284,845,772,077.02/460,954.20
  6. Step 6: Final answer
    x = 617,948.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.