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Finding the Fourth Proportional to 294,530.40, 441,810.96 and 84,200.16

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Solution

The fourth proportional to 294,530.40, 441,810.96 and 84,200.16 is: 126,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,530.40 : 441,810.96 = 84,200.16 : x
  2. Step 2: Convert to fraction form
    294,530.40/441,810.96 = 84,200.16/x
  3. Step 3: Cross multiply
    294,530.40x = 441,810.96 × 84,200.16
  4. Step 4: Simplify right side
    294,530.40x = 37,200,553,521.75
  5. Step 5: Solve for x
    x = 37,200,553,521.75/294,530.40
  6. Step 6: Final answer
    x = 126,304.63

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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.