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Finding the Fourth Proportional to 294,958.78, 407,030.16 and 165,908.02

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Solution

The fourth proportional to 294,958.78, 407,030.16 and 165,908.02 is: 228,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,958.78 : 407,030.16 = 165,908.02 : x
  2. Step 2: Convert to fraction form
    294,958.78/407,030.16 = 165,908.02/x
  3. Step 3: Cross multiply
    294,958.78x = 407,030.16 × 165,908.02
  4. Step 4: Simplify right side
    294,958.78x = 67,529,567,925.88
  5. Step 5: Solve for x
    x = 67,529,567,925.88/294,958.78
  6. Step 6: Final answer
    x = 228,945.78

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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.