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Finding the Fourth Proportional to 309,039.53, 462,936 and 258,979.10

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Solution

The fourth proportional to 309,039.53, 462,936 and 258,979.10 is: 387,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,039.53 : 462,936 = 258,979.10 : x
  2. Step 2: Convert to fraction form
    309,039.53/462,936 = 258,979.10/x
  3. Step 3: Cross multiply
    309,039.53x = 462,936 × 258,979.10
  4. Step 4: Simplify right side
    309,039.53x = 119,890,748,637.60
  5. Step 5: Solve for x
    x = 119,890,748,637.60/309,039.53
  6. Step 6: Final answer
    x = 387,946.32

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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.