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Finding the Fourth Proportional to 453,706.40, 680,462.40 and 200,986.40

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Solution

The fourth proportional to 453,706.40, 680,462.40 and 200,986.40 is: 301,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,706.40 : 680,462.40 = 200,986.40 : x
  2. Step 2: Convert to fraction form
    453,706.40/680,462.40 = 200,986.40/x
  3. Step 3: Cross multiply
    453,706.40x = 680,462.40 × 200,986.40
  4. Step 4: Simplify right side
    453,706.40x = 136,763,688,111.36
  5. Step 5: Solve for x
    x = 136,763,688,111.36/453,706.40
  6. Step 6: Final answer
    x = 301,436.54

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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.