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Finding the Fourth Proportional to 460,091.40, 690,158.70 and 144,558.60

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Solution

The fourth proportional to 460,091.40, 690,158.70 and 144,558.60 is: 216,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,091.40 : 690,158.70 = 144,558.60 : x
  2. Step 2: Convert to fraction form
    460,091.40/690,158.70 = 144,558.60/x
  3. Step 3: Cross multiply
    460,091.40x = 690,158.70 × 144,558.60
  4. Step 4: Simplify right side
    460,091.40x = 99,768,375,449.82
  5. Step 5: Solve for x
    x = 99,768,375,449.82/460,091.40
  6. Step 6: Final answer
    x = 216,844.69

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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.