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Finding the Fourth Proportional to 471,165.36, 650,210.13 and 256,306.65

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Solution

The fourth proportional to 471,165.36, 650,210.13 and 256,306.65 is: 353,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,165.36 : 650,210.13 = 256,306.65 : x
  2. Step 2: Convert to fraction form
    471,165.36/650,210.13 = 256,306.65/x
  3. Step 3: Cross multiply
    471,165.36x = 650,210.13 × 256,306.65
  4. Step 4: Simplify right side
    471,165.36x = 166,653,180,216.37
  5. Step 5: Solve for x
    x = 166,653,180,216.37/471,165.36
  6. Step 6: Final answer
    x = 353,704.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.