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Finding the Fourth Proportional to 469,758.06, 705,010.64 and 170,324.28

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Solution

The fourth proportional to 469,758.06, 705,010.64 and 170,324.28 is: 255,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,758.06 : 705,010.64 = 170,324.28 : x
  2. Step 2: Convert to fraction form
    469,758.06/705,010.64 = 170,324.28/x
  3. Step 3: Cross multiply
    469,758.06x = 705,010.64 × 170,324.28
  4. Step 4: Simplify right side
    469,758.06x = 120,080,428,798.72
  5. Step 5: Solve for x
    x = 120,080,428,798.72/469,758.06
  6. Step 6: Final answer
    x = 255,621.86

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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.