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Finding the Fourth Proportional to 535,052.75, 802,662.12 and 180,039.06

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Solution

The fourth proportional to 535,052.75, 802,662.12 and 180,039.06 is: 270,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,052.75 : 802,662.12 = 180,039.06 : x
  2. Step 2: Convert to fraction form
    535,052.75/802,662.12 = 180,039.06/x
  3. Step 3: Cross multiply
    535,052.75x = 802,662.12 × 180,039.06
  4. Step 4: Simplify right side
    535,052.75x = 144,510,533,582.41
  5. Step 5: Solve for x
    x = 144,510,533,582.41/535,052.75
  6. Step 6: Final answer
    x = 270,086.52

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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.