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Finding the Fourth Proportional to 410,757.81, 616,206.78 and 183,136.02

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Solution

The fourth proportional to 410,757.81, 616,206.78 and 183,136.02 is: 274,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,757.81 : 616,206.78 = 183,136.02 : x
  2. Step 2: Convert to fraction form
    410,757.81/616,206.78 = 183,136.02/x
  3. Step 3: Cross multiply
    410,757.81x = 616,206.78 × 183,136.02
  4. Step 4: Simplify right side
    410,757.81x = 112,849,657,186.22
  5. Step 5: Solve for x
    x = 112,849,657,186.22/410,757.81
  6. Step 6: Final answer
    x = 274,735.27

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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.