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Finding the Fourth Proportional to 380,552.40, 570,053.52 and 180,265.68

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Solution

The fourth proportional to 380,552.40, 570,053.52 and 180,265.68 is: 270,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,552.40 : 570,053.52 = 180,265.68 : x
  2. Step 2: Convert to fraction form
    380,552.40/570,053.52 = 180,265.68/x
  3. Step 3: Cross multiply
    380,552.40x = 570,053.52 × 180,265.68
  4. Step 4: Simplify right side
    380,552.40x = 102,761,085,419.19
  5. Step 5: Solve for x
    x = 102,761,085,419.19/380,552.40
  6. Step 6: Final answer
    x = 270,031.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.