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Finding the Fourth Proportional to 294,504, 441,760.32 and 72,888

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Solution

The fourth proportional to 294,504, 441,760.32 and 72,888 is: 109,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,504 : 441,760.32 = 72,888 : x
  2. Step 2: Convert to fraction form
    294,504/441,760.32 = 72,888/x
  3. Step 3: Cross multiply
    294,504x = 441,760.32 × 72,888
  4. Step 4: Simplify right side
    294,504x = 32,199,026,204.16
  5. Step 5: Solve for x
    x = 32,199,026,204.16/294,504
  6. Step 6: Final answer
    x = 109,333.07

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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.