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Finding the Fourth Proportional to 469,351.56, 704,094.46 and 145,164.65

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Solution

The fourth proportional to 469,351.56, 704,094.46 and 145,164.65 is: 217,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,351.56 : 704,094.46 = 145,164.65 : x
  2. Step 2: Convert to fraction form
    469,351.56/704,094.46 = 145,164.65/x
  3. Step 3: Cross multiply
    469,351.56x = 704,094.46 × 145,164.65
  4. Step 4: Simplify right side
    469,351.56x = 102,209,625,852.84
  5. Step 5: Solve for x
    x = 102,209,625,852.84/469,351.56
  6. Step 6: Final answer
    x = 217,767.73

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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.