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Finding the Fourth Proportional to 471,498.64, 650,682.16 and 290,315.12

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Solution

The fourth proportional to 471,498.64, 650,682.16 and 290,315.12 is: 400,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,498.64 : 650,682.16 = 290,315.12 : x
  2. Step 2: Convert to fraction form
    471,498.64/650,682.16 = 290,315.12/x
  3. Step 3: Cross multiply
    471,498.64x = 650,682.16 × 290,315.12
  4. Step 4: Simplify right side
    471,498.64x = 188,902,869,362.26
  5. Step 5: Solve for x
    x = 188,902,869,362.26/471,498.64
  6. Step 6: Final answer
    x = 400,643.51

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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.