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Finding the Fourth Proportional to 535,173.77, 802,198.71 and 180,064.51

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Solution

The fourth proportional to 535,173.77, 802,198.71 and 180,064.51 is: 269,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,173.77 : 802,198.71 = 180,064.51 : x
  2. Step 2: Convert to fraction form
    535,173.77/802,198.71 = 180,064.51/x
  3. Step 3: Cross multiply
    535,173.77x = 802,198.71 × 180,064.51
  4. Step 4: Simplify right side
    535,173.77x = 144,447,517,638.78
  5. Step 5: Solve for x
    x = 144,447,517,638.78/535,173.77
  6. Step 6: Final answer
    x = 269,907.69

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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.