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Finding the Fourth Proportional to 376,659.34, 519,663.18 and 213,293.50

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Solution

The fourth proportional to 376,659.34, 519,663.18 and 213,293.50 is: 294,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,659.34 : 519,663.18 = 213,293.50 : x
  2. Step 2: Convert to fraction form
    376,659.34/519,663.18 = 213,293.50/x
  3. Step 3: Cross multiply
    376,659.34x = 519,663.18 × 213,293.50
  4. Step 4: Simplify right side
    376,659.34x = 110,840,778,483.33
  5. Step 5: Solve for x
    x = 110,840,778,483.33/376,659.34
  6. Step 6: Final answer
    x = 294,273.28

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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.