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Finding the Fourth Proportional to 294,094.50, 441,141.75 and 72,478.50

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Solution

The fourth proportional to 294,094.50, 441,141.75 and 72,478.50 is: 108,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,094.50 : 441,141.75 = 72,478.50 : x
  2. Step 2: Convert to fraction form
    294,094.50/441,141.75 = 72,478.50/x
  3. Step 3: Cross multiply
    294,094.50x = 441,141.75 × 72,478.50
  4. Step 4: Simplify right side
    294,094.50x = 31,973,292,327.38
  5. Step 5: Solve for x
    x = 31,973,292,327.38/294,094.50
  6. Step 6: Final answer
    x = 108,717.75

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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.