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Finding the Fourth Proportional to 375,596.22, 518,502.27 and 214,420.08

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Solution

The fourth proportional to 375,596.22, 518,502.27 and 214,420.08 is: 296,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,596.22 : 518,502.27 = 214,420.08 : x
  2. Step 2: Convert to fraction form
    375,596.22/518,502.27 = 214,420.08/x
  3. Step 3: Cross multiply
    375,596.22x = 518,502.27 × 214,420.08
  4. Step 4: Simplify right side
    375,596.22x = 111,177,298,213.58
  5. Step 5: Solve for x
    x = 111,177,298,213.58/375,596.22
  6. Step 6: Final answer
    x = 296,002.18

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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.