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Finding the Fourth Proportional to 311,186.80, 465,743.40 and 286,303.60

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Solution

The fourth proportional to 311,186.80, 465,743.40 and 286,303.60 is: 428,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,186.80 : 465,743.40 = 286,303.60 : x
  2. Step 2: Convert to fraction form
    311,186.80/465,743.40 = 286,303.60/x
  3. Step 3: Cross multiply
    311,186.80x = 465,743.40 × 286,303.60
  4. Step 4: Simplify right side
    311,186.80x = 133,344,012,096.24
  5. Step 5: Solve for x
    x = 133,344,012,096.24/311,186.80
  6. Step 6: Final answer
    x = 428,501.50

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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.