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Finding the Fourth Proportional to 535,050.46, 802,649.96 and 180,165.97

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Solution

The fourth proportional to 535,050.46, 802,649.96 and 180,165.97 is: 270,273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,050.46 : 802,649.96 = 180,165.97 : x
  2. Step 2: Convert to fraction form
    535,050.46/802,649.96 = 180,165.97/x
  3. Step 3: Cross multiply
    535,050.46x = 802,649.96 × 180,165.97
  4. Step 4: Simplify right side
    535,050.46x = 144,610,209,391.97
  5. Step 5: Solve for x
    x = 144,610,209,391.97/535,050.46
  6. Step 6: Final answer
    x = 270,273.96

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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.