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Finding the Fourth Proportional to 380,216.10, 524,643.30 and 210,449.82

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Solution

The fourth proportional to 380,216.10, 524,643.30 and 210,449.82 is: 290,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,216.10 : 524,643.30 = 210,449.82 : x
  2. Step 2: Convert to fraction form
    380,216.10/524,643.30 = 210,449.82/x
  3. Step 3: Cross multiply
    380,216.10x = 524,643.30 × 210,449.82
  4. Step 4: Simplify right side
    380,216.10x = 110,411,088,049.21
  5. Step 5: Solve for x
    x = 110,411,088,049.21/380,216.10
  6. Step 6: Final answer
    x = 290,390.35

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