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Finding the Fourth Proportional to 418,682.94, 627,740.13 and 213,012.09

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Solution

The fourth proportional to 418,682.94, 627,740.13 and 213,012.09 is: 319,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,682.94 : 627,740.13 = 213,012.09 : x
  2. Step 2: Convert to fraction form
    418,682.94/627,740.13 = 213,012.09/x
  3. Step 3: Cross multiply
    418,682.94x = 627,740.13 × 213,012.09
  4. Step 4: Simplify right side
    418,682.94x = 133,716,237,068.17
  5. Step 5: Solve for x
    x = 133,716,237,068.17/418,682.94
  6. Step 6: Final answer
    x = 319,373.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.