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Finding the Fourth Proportional to 468,584.40, 702,907.36 and 188,065.20

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Solution

The fourth proportional to 468,584.40, 702,907.36 and 188,065.20 is: 282,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,584.40 : 702,907.36 = 188,065.20 : x
  2. Step 2: Convert to fraction form
    468,584.40/702,907.36 = 188,065.20/x
  3. Step 3: Cross multiply
    468,584.40x = 702,907.36 × 188,065.20
  4. Step 4: Simplify right side
    468,584.40x = 132,192,413,239.87
  5. Step 5: Solve for x
    x = 132,192,413,239.87/468,584.40
  6. Step 6: Final answer
    x = 282,110.15

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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.