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Finding the Fourth Proportional to 280,656.84, 386,805.42 and 212,511

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Solution

The fourth proportional to 280,656.84, 386,805.42 and 212,511 is: 292,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,656.84 : 386,805.42 = 212,511 : x
  2. Step 2: Convert to fraction form
    280,656.84/386,805.42 = 212,511/x
  3. Step 3: Cross multiply
    280,656.84x = 386,805.42 × 212,511
  4. Step 4: Simplify right side
    280,656.84x = 82,200,406,609.62
  5. Step 5: Solve for x
    x = 82,200,406,609.62/280,656.84
  6. Step 6: Final answer
    x = 292,885.81

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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.