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Finding the Fourth Proportional to 294,039.72, 441,066.06 and 83,684.34

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Solution

The fourth proportional to 294,039.72, 441,066.06 and 83,684.34 is: 125,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,039.72 : 441,066.06 = 83,684.34 : x
  2. Step 2: Convert to fraction form
    294,039.72/441,066.06 = 83,684.34/x
  3. Step 3: Cross multiply
    294,039.72x = 441,066.06 × 83,684.34
  4. Step 4: Simplify right side
    294,039.72x = 36,910,322,127.50
  5. Step 5: Solve for x
    x = 36,910,322,127.50/294,039.72
  6. Step 6: Final answer
    x = 125,528.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.