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Finding the Fourth Proportional to 294,369.30, 441,421.11 and 83,957.22

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Solution

The fourth proportional to 294,369.30, 441,421.11 and 83,957.22 is: 125,897.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,369.30 : 441,421.11 = 83,957.22 : x
  2. Step 2: Convert to fraction form
    294,369.30/441,421.11 = 83,957.22/x
  3. Step 3: Cross multiply
    294,369.30x = 441,421.11 × 83,957.22
  4. Step 4: Simplify right side
    294,369.30x = 37,060,489,244.91
  5. Step 5: Solve for x
    x = 37,060,489,244.91/294,369.30
  6. Step 6: Final answer
    x = 125,897.94

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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.