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Finding the Fourth Proportional to 460,284.50, 690,451.36 and 144,766.01

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Solution

The fourth proportional to 460,284.50, 690,451.36 and 144,766.01 is: 217,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,284.50 : 690,451.36 = 144,766.01 : x
  2. Step 2: Convert to fraction form
    460,284.50/690,451.36 = 144,766.01/x
  3. Step 3: Cross multiply
    460,284.50x = 690,451.36 × 144,766.01
  4. Step 4: Simplify right side
    460,284.50x = 99,953,888,486.27
  5. Step 5: Solve for x
    x = 99,953,888,486.27/460,284.50
  6. Step 6: Final answer
    x = 217,156.76

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