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Finding the Fourth Proportional to 374,971.88, 517,493.52 and 213,833.72

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Solution

The fourth proportional to 374,971.88, 517,493.52 and 213,833.72 is: 295,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,971.88 : 517,493.52 = 213,833.72 : x
  2. Step 2: Convert to fraction form
    374,971.88/517,493.52 = 213,833.72/x
  3. Step 3: Cross multiply
    374,971.88x = 517,493.52 × 213,833.72
  4. Step 4: Simplify right side
    374,971.88x = 110,657,564,457.49
  5. Step 5: Solve for x
    x = 110,657,564,457.49/374,971.88
  6. Step 6: Final answer
    x = 295,108.97

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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.