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Finding the Fourth Proportional to 535,268.82, 802,903.84 and 180,253.12

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Solution

The fourth proportional to 535,268.82, 802,903.84 and 180,253.12 is: 270,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,268.82 : 802,903.84 = 180,253.12 : x
  2. Step 2: Convert to fraction form
    535,268.82/802,903.84 = 180,253.12/x
  3. Step 3: Cross multiply
    535,268.82x = 802,903.84 × 180,253.12
  4. Step 4: Simplify right side
    535,268.82x = 144,725,922,219.98
  5. Step 5: Solve for x
    x = 144,725,922,219.98/535,268.82
  6. Step 6: Final answer
    x = 270,379.89

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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.