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Finding the Fourth Proportional to 375,297.80, 517,782.42 and 214,036.92

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Solution

The fourth proportional to 375,297.80, 517,782.42 and 214,036.92 is: 295,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,297.80 : 517,782.42 = 214,036.92 : x
  2. Step 2: Convert to fraction form
    375,297.80/517,782.42 = 214,036.92/x
  3. Step 3: Cross multiply
    375,297.80x = 517,782.42 × 214,036.92
  4. Step 4: Simplify right side
    375,297.80x = 110,824,554,406.95
  5. Step 5: Solve for x
    x = 110,824,554,406.95/375,297.80
  6. Step 6: Final answer
    x = 295,297.64

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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.