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Finding the Fourth Proportional to 375,726.76, 518,523.79 and 214,634.16

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Solution

The fourth proportional to 375,726.76, 518,523.79 and 214,634.16 is: 296,207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,726.76 : 518,523.79 = 214,634.16 : x
  2. Step 2: Convert to fraction form
    375,726.76/518,523.79 = 214,634.16/x
  3. Step 3: Cross multiply
    375,726.76x = 518,523.79 × 214,634.16
  4. Step 4: Simplify right side
    375,726.76x = 111,292,918,106.67
  5. Step 5: Solve for x
    x = 111,292,918,106.67/375,726.76
  6. Step 6: Final answer
    x = 296,207.06

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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.