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Finding the Fourth Proportional to 422,260.12, 633,302.64 and 155,838.52

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Solution

The fourth proportional to 422,260.12, 633,302.64 and 155,838.52 is: 233,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,260.12 : 633,302.64 = 155,838.52 : x
  2. Step 2: Convert to fraction form
    422,260.12/633,302.64 = 155,838.52/x
  3. Step 3: Cross multiply
    422,260.12x = 633,302.64 × 155,838.52
  4. Step 4: Simplify right side
    422,260.12x = 98,692,946,129.69
  5. Step 5: Solve for x
    x = 98,692,946,129.69/422,260.12
  6. Step 6: Final answer
    x = 233,725.47

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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.