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Finding the Fourth Proportional to 473,081.63, 709,917.68 and 192,598.88

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Solution

The fourth proportional to 473,081.63, 709,917.68 and 192,598.88 is: 289,018.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,081.63 : 709,917.68 = 192,598.88 : x
  2. Step 2: Convert to fraction form
    473,081.63/709,917.68 = 192,598.88/x
  3. Step 3: Cross multiply
    473,081.63x = 709,917.68 × 192,598.88
  4. Step 4: Simplify right side
    473,081.63x = 136,729,346,992.11
  5. Step 5: Solve for x
    x = 136,729,346,992.11/473,081.63
  6. Step 6: Final answer
    x = 289,018.51

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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.