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Finding the Fourth Proportional to 460,476.63, 690,808.37 and 144,860.13

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Solution

The fourth proportional to 460,476.63, 690,808.37 and 144,860.13 is: 217,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,476.63 : 690,808.37 = 144,860.13 : x
  2. Step 2: Convert to fraction form
    460,476.63/690,808.37 = 144,860.13/x
  3. Step 3: Cross multiply
    460,476.63x = 690,808.37 × 144,860.13
  4. Step 4: Simplify right side
    460,476.63x = 100,070,589,558.99
  5. Step 5: Solve for x
    x = 100,070,589,558.99/460,476.63
  6. Step 6: Final answer
    x = 217,319.58

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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.