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Finding the Fourth Proportional to 460,522.14, 690,722.73 and 144,980.70

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Solution

The fourth proportional to 460,522.14, 690,722.73 and 144,980.70 is: 217,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,522.14 : 690,722.73 = 144,980.70 : x
  2. Step 2: Convert to fraction form
    460,522.14/690,722.73 = 144,980.70/x
  3. Step 3: Cross multiply
    460,522.14x = 690,722.73 × 144,980.70
  4. Step 4: Simplify right side
    460,522.14x = 100,141,464,901.31
  5. Step 5: Solve for x
    x = 100,141,464,901.31/460,522.14
  6. Step 6: Final answer
    x = 217,452.01

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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.