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Finding the Fourth Proportional to 375,290.42, 517,772.25 and 214,029.54

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Solution

The fourth proportional to 375,290.42, 517,772.25 and 214,029.54 is: 295,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,290.42 : 517,772.25 = 214,029.54 : x
  2. Step 2: Convert to fraction form
    375,290.42/517,772.25 = 214,029.54/x
  3. Step 3: Cross multiply
    375,290.42x = 517,772.25 × 214,029.54
  4. Step 4: Simplify right side
    375,290.42x = 110,818,556,492.27
  5. Step 5: Solve for x
    x = 110,818,556,492.27/375,290.42
  6. Step 6: Final answer
    x = 295,287.47

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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.