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Finding the Fourth Proportional to 491,584.48, 737,416.76 and 136,598.54

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Solution

The fourth proportional to 491,584.48, 737,416.76 and 136,598.54 is: 204,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,584.48 : 737,416.76 = 136,598.54 : x
  2. Step 2: Convert to fraction form
    491,584.48/737,416.76 = 136,598.54/x
  3. Step 3: Cross multiply
    491,584.48x = 737,416.76 × 136,598.54
  4. Step 4: Simplify right side
    491,584.48x = 100,730,048,417.45
  5. Step 5: Solve for x
    x = 100,730,048,417.45/491,584.48
  6. Step 6: Final answer
    x = 204,908.93

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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.