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Finding the Fourth Proportional to 294,522, 441,783 and 72,906

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Solution

The fourth proportional to 294,522, 441,783 and 72,906 is: 109,359

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,522 : 441,783 = 72,906 : x
  2. Step 2: Convert to fraction form
    294,522/441,783 = 72,906/x
  3. Step 3: Cross multiply
    294,522x = 441,783 × 72,906
  4. Step 4: Simplify right side
    294,522x = 32,208,631,398
  5. Step 5: Solve for x
    x = 32,208,631,398/294,522
  6. Step 6: Final answer
    x = 109,359

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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.