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Finding the Fourth Proportional to 508,309.28, 701,464.56 and 290,514.32

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Solution

The fourth proportional to 508,309.28, 701,464.56 and 290,514.32 is: 400,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,309.28 : 701,464.56 = 290,514.32 : x
  2. Step 2: Convert to fraction form
    508,309.28/701,464.56 = 290,514.32/x
  3. Step 3: Cross multiply
    508,309.28x = 701,464.56 × 290,514.32
  4. Step 4: Simplify right side
    508,309.28x = 203,785,499,652.50
  5. Step 5: Solve for x
    x = 203,785,499,652.50/508,309.28
  6. Step 6: Final answer
    x = 400,908.48

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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.