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Finding the Fourth Proportional to 460,431.60, 690,647.40 and 144,985.20

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Solution

The fourth proportional to 460,431.60, 690,647.40 and 144,985.20 is: 217,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,431.60 : 690,647.40 = 144,985.20 : x
  2. Step 2: Convert to fraction form
    460,431.60/690,647.40 = 144,985.20/x
  3. Step 3: Cross multiply
    460,431.60x = 690,647.40 × 144,985.20
  4. Step 4: Simplify right side
    460,431.60x = 100,133,651,418.48
  5. Step 5: Solve for x
    x = 100,133,651,418.48/460,431.60
  6. Step 6: Final answer
    x = 217,477.80

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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.