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Finding the Fourth Proportional to 440,428.60, 608,043.66 and 289,963

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Solution

The fourth proportional to 440,428.60, 608,043.66 and 289,963 is: 400,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,428.60 : 608,043.66 = 289,963 : x
  2. Step 2: Convert to fraction form
    440,428.60/608,043.66 = 289,963/x
  3. Step 3: Cross multiply
    440,428.60x = 608,043.66 × 289,963
  4. Step 4: Simplify right side
    440,428.60x = 176,310,163,784.58
  5. Step 5: Solve for x
    x = 176,310,163,784.58/440,428.60
  6. Step 6: Final answer
    x = 400,314.97

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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.