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Finding the Fourth Proportional to 442,296.81, 610,350.27 and 270,503.10

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Solution

The fourth proportional to 442,296.81, 610,350.27 and 270,503.10 is: 373,282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,296.81 : 610,350.27 = 270,503.10 : x
  2. Step 2: Convert to fraction form
    442,296.81/610,350.27 = 270,503.10/x
  3. Step 3: Cross multiply
    442,296.81x = 610,350.27 × 270,503.10
  4. Step 4: Simplify right side
    442,296.81x = 165,101,640,120.84
  5. Step 5: Solve for x
    x = 165,101,640,120.84/442,296.81
  6. Step 6: Final answer
    x = 373,282.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.