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Finding the Fourth Proportional to 294,838.16, 442,254.80 and 84,476.30

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Solution

The fourth proportional to 294,838.16, 442,254.80 and 84,476.30 is: 126,713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,838.16 : 442,254.80 = 84,476.30 : x
  2. Step 2: Convert to fraction form
    294,838.16/442,254.80 = 84,476.30/x
  3. Step 3: Cross multiply
    294,838.16x = 442,254.80 × 84,476.30
  4. Step 4: Simplify right side
    294,838.16x = 37,360,049,161.24
  5. Step 5: Solve for x
    x = 37,360,049,161.24/294,838.16
  6. Step 6: Final answer
    x = 126,713.75

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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.