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Finding the Fourth Proportional to 280,654.84, 386,802.66 and 212,509

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Solution

The fourth proportional to 280,654.84, 386,802.66 and 212,509 is: 292,883.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,654.84 : 386,802.66 = 212,509 : x
  2. Step 2: Convert to fraction form
    280,654.84/386,802.66 = 212,509/x
  3. Step 3: Cross multiply
    280,654.84x = 386,802.66 × 212,509
  4. Step 4: Simplify right side
    280,654.84x = 82,199,046,473.94
  5. Step 5: Solve for x
    x = 82,199,046,473.94/280,654.84
  6. Step 6: Final answer
    x = 292,883.05

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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.