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Finding the Fourth Proportional to 460,082.82, 690,193.89 and 144,510.06

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Solution

The fourth proportional to 460,082.82, 690,193.89 and 144,510.06 is: 216,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,082.82 : 690,193.89 = 144,510.06 : x
  2. Step 2: Convert to fraction form
    460,082.82/690,193.89 = 144,510.06/x
  3. Step 3: Cross multiply
    460,082.82x = 690,193.89 × 144,510.06
  4. Step 4: Simplify right side
    460,082.82x = 99,739,960,455.53
  5. Step 5: Solve for x
    x = 99,739,960,455.53/460,082.82
  6. Step 6: Final answer
    x = 216,786.97

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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.