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Finding the Fourth Proportional to 380,403.66, 524,950.64 and 210,634.14

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Solution

The fourth proportional to 380,403.66, 524,950.64 and 210,634.14 is: 290,671.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,403.66 : 524,950.64 = 210,634.14 : x
  2. Step 2: Convert to fraction form
    380,403.66/524,950.64 = 210,634.14/x
  3. Step 3: Cross multiply
    380,403.66x = 524,950.64 × 210,634.14
  4. Step 4: Simplify right side
    380,403.66x = 110,572,526,598.85
  5. Step 5: Solve for x
    x = 110,572,526,598.85/380,403.66
  6. Step 6: Final answer
    x = 290,671.56

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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.