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Finding the Fourth Proportional to 442,217.34, 610,070.81 and 288,989.60

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Solution

The fourth proportional to 442,217.34, 610,070.81 and 288,989.60 is: 398,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,217.34 : 610,070.81 = 288,989.60 : x
  2. Step 2: Convert to fraction form
    442,217.34/610,070.81 = 288,989.60/x
  3. Step 3: Cross multiply
    442,217.34x = 610,070.81 × 288,989.60
  4. Step 4: Simplify right side
    442,217.34x = 176,304,114,858.27
  5. Step 5: Solve for x
    x = 176,304,114,858.27/442,217.34
  6. Step 6: Final answer
    x = 398,682.05

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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.