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Finding the Fourth Proportional to 460,419.30, 690,737.36 and 144,876.11

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Solution

The fourth proportional to 460,419.30, 690,737.36 and 144,876.11 is: 217,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,419.30 : 690,737.36 = 144,876.11 : x
  2. Step 2: Convert to fraction form
    460,419.30/690,737.36 = 144,876.11/x
  3. Step 3: Cross multiply
    460,419.30x = 690,737.36 × 144,876.11
  4. Step 4: Simplify right side
    460,419.30x = 100,071,337,570.40
  5. Step 5: Solve for x
    x = 100,071,337,570.40/460,419.30
  6. Step 6: Final answer
    x = 217,348.27

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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.