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Finding the Fourth Proportional to 300,386.02, 414,534.02 and 162,564.96

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Solution

The fourth proportional to 300,386.02, 414,534.02 and 162,564.96 is: 224,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,386.02 : 414,534.02 = 162,564.96 : x
  2. Step 2: Convert to fraction form
    300,386.02/414,534.02 = 162,564.96/x
  3. Step 3: Cross multiply
    300,386.02x = 414,534.02 × 162,564.96
  4. Step 4: Simplify right side
    300,386.02x = 67,388,706,379.94
  5. Step 5: Solve for x
    x = 67,388,706,379.94/300,386.02
  6. Step 6: Final answer
    x = 224,340.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.