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Finding the Fourth Proportional to 504,064.51, 755,511.75 and 204,172.14

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Solution

The fourth proportional to 504,064.51, 755,511.75 and 204,172.14 is: 306,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,064.51 : 755,511.75 = 204,172.14 : x
  2. Step 2: Convert to fraction form
    504,064.51/755,511.75 = 204,172.14/x
  3. Step 3: Cross multiply
    504,064.51x = 755,511.75 × 204,172.14
  4. Step 4: Simplify right side
    504,064.51x = 154,254,450,792.65
  5. Step 5: Solve for x
    x = 154,254,450,792.65/504,064.51
  6. Step 6: Final answer
    x = 306,021.25

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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.