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Finding the Fourth Proportional to 470,541.56, 705,814.70 and 115,555.68

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Solution

The fourth proportional to 470,541.56, 705,814.70 and 115,555.68 is: 173,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,541.56 : 705,814.70 = 115,555.68 : x
  2. Step 2: Convert to fraction form
    470,541.56/705,814.70 = 115,555.68/x
  3. Step 3: Cross multiply
    470,541.56x = 705,814.70 × 115,555.68
  4. Step 4: Simplify right side
    470,541.56x = 81,560,897,034.72
  5. Step 5: Solve for x
    x = 81,560,897,034.72/470,541.56
  6. Step 6: Final answer
    x = 173,334.10

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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.