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Finding the Fourth Proportional to 460,058.40, 690,109.20 and 144,525.60

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Solution

The fourth proportional to 460,058.40, 690,109.20 and 144,525.60 is: 216,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,058.40 : 690,109.20 = 144,525.60 : x
  2. Step 2: Convert to fraction form
    460,058.40/690,109.20 = 144,525.60/x
  3. Step 3: Cross multiply
    460,058.40x = 690,109.20 × 144,525.60
  4. Step 4: Simplify right side
    460,058.40x = 99,738,446,195.52
  5. Step 5: Solve for x
    x = 99,738,446,195.52/460,058.40
  6. Step 6: Final answer
    x = 216,795.19

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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.