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Finding the Fourth Proportional to 535,132.68, 802,817.34 and 180,135

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Solution

The fourth proportional to 535,132.68, 802,817.34 and 180,135 is: 270,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,132.68 : 802,817.34 = 180,135 : x
  2. Step 2: Convert to fraction form
    535,132.68/802,817.34 = 180,135/x
  3. Step 3: Cross multiply
    535,132.68x = 802,817.34 × 180,135
  4. Step 4: Simplify right side
    535,132.68x = 144,615,501,540.90
  5. Step 5: Solve for x
    x = 144,615,501,540.90/535,132.68
  6. Step 6: Final answer
    x = 270,242.33

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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.