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Finding the Fourth Proportional to 470,560.68, 705,843.36 and 115,574.76

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Solution

The fourth proportional to 470,560.68, 705,843.36 and 115,574.76 is: 173,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,560.68 : 705,843.36 = 115,574.76 : x
  2. Step 2: Convert to fraction form
    470,560.68/705,843.36 = 115,574.76/x
  3. Step 3: Cross multiply
    470,560.68x = 705,843.36 × 115,574.76
  4. Step 4: Simplify right side
    470,560.68x = 81,577,676,929.59
  5. Step 5: Solve for x
    x = 81,577,676,929.59/470,560.68
  6. Step 6: Final answer
    x = 173,362.71

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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.