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Finding the Fourth Proportional to 535,308.80, 802,964.64 and 180,572

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Solution

The fourth proportional to 535,308.80, 802,964.64 and 180,572 is: 270,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,308.80 : 802,964.64 = 180,572 : x
  2. Step 2: Convert to fraction form
    535,308.80/802,964.64 = 180,572/x
  3. Step 3: Cross multiply
    535,308.80x = 802,964.64 × 180,572
  4. Step 4: Simplify right side
    535,308.80x = 144,992,930,974.08
  5. Step 5: Solve for x
    x = 144,992,930,974.08/535,308.80
  6. Step 6: Final answer
    x = 270,858.49

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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.