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Finding the Fourth Proportional to 460,283.50, 690,449.86 and 144,765.01

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Solution

The fourth proportional to 460,283.50, 690,449.86 and 144,765.01 is: 217,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,283.50 : 690,449.86 = 144,765.01 : x
  2. Step 2: Convert to fraction form
    460,283.50/690,449.86 = 144,765.01/x
  3. Step 3: Cross multiply
    460,283.50x = 690,449.86 × 144,765.01
  4. Step 4: Simplify right side
    460,283.50x = 99,952,980,163.57
  5. Step 5: Solve for x
    x = 99,952,980,163.57/460,283.50
  6. Step 6: Final answer
    x = 217,155.25

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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.