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Finding the Fourth Proportional to 471,365.65, 650,498.16 and 256,519.32

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Solution

The fourth proportional to 471,365.65, 650,498.16 and 256,519.32 is: 354,004.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,365.65 : 650,498.16 = 256,519.32 : x
  2. Step 2: Convert to fraction form
    471,365.65/650,498.16 = 256,519.32/x
  3. Step 3: Cross multiply
    471,365.65x = 650,498.16 × 256,519.32
  4. Step 4: Simplify right side
    471,365.65x = 166,865,345,664.45
  5. Step 5: Solve for x
    x = 166,865,345,664.45/471,365.65
  6. Step 6: Final answer
    x = 354,004.04

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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.