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Finding the Fourth Proportional to 535,182.80, 802,774.26 and 161,205.80

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Solution

The fourth proportional to 535,182.80, 802,774.26 and 161,205.80 is: 241,808.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,182.80 : 802,774.26 = 161,205.80 : x
  2. Step 2: Convert to fraction form
    535,182.80/802,774.26 = 161,205.80/x
  3. Step 3: Cross multiply
    535,182.80x = 802,774.26 × 161,205.80
  4. Step 4: Simplify right side
    535,182.80x = 129,411,862,788.84
  5. Step 5: Solve for x
    x = 129,411,862,788.84/535,182.80
  6. Step 6: Final answer
    x = 241,808.71

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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.