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Finding the Fourth Proportional to 460,065.40, 690,119.70 and 144,532.60

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Solution

The fourth proportional to 460,065.40, 690,119.70 and 144,532.60 is: 216,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,065.40 : 690,119.70 = 144,532.60 : x
  2. Step 2: Convert to fraction form
    460,065.40/690,119.70 = 144,532.60/x
  3. Step 3: Cross multiply
    460,065.40x = 690,119.70 × 144,532.60
  4. Step 4: Simplify right side
    460,065.40x = 99,744,794,552.22
  5. Step 5: Solve for x
    x = 99,744,794,552.22/460,065.40
  6. Step 6: Final answer
    x = 216,805.69

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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.