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Finding the Fourth Proportional to 375,725.76, 518,522.41 and 214,633.16

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Solution

The fourth proportional to 375,725.76, 518,522.41 and 214,633.16 is: 296,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,725.76 : 518,522.41 = 214,633.16 : x
  2. Step 2: Convert to fraction form
    375,725.76/518,522.41 = 214,633.16/x
  3. Step 3: Cross multiply
    375,725.76x = 518,522.41 × 214,633.16
  4. Step 4: Simplify right side
    375,725.76x = 111,292,103,009.25
  5. Step 5: Solve for x
    x = 111,292,103,009.25/375,725.76
  6. Step 6: Final answer
    x = 296,205.68

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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.