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Finding the Fourth Proportional to 535,175.77, 802,201.72 and 180,066.51

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Solution

The fourth proportional to 535,175.77, 802,201.72 and 180,066.51 is: 269,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,175.77 : 802,201.72 = 180,066.51 : x
  2. Step 2: Convert to fraction form
    535,175.77/802,201.72 = 180,066.51/x
  3. Step 3: Cross multiply
    535,175.77x = 802,201.72 × 180,066.51
  4. Step 4: Simplify right side
    535,175.77x = 144,449,664,036.40
  5. Step 5: Solve for x
    x = 144,449,664,036.40/535,175.77
  6. Step 6: Final answer
    x = 269,910.70

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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.