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Finding the Fourth Proportional to 535,074.65, 802,732.26 and 180,078.38

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Solution

The fourth proportional to 535,074.65, 802,732.26 and 180,078.38 is: 270,158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,074.65 : 802,732.26 = 180,078.38 : x
  2. Step 2: Convert to fraction form
    535,074.65/802,732.26 = 180,078.38/x
  3. Step 3: Cross multiply
    535,074.65x = 802,732.26 × 180,078.38
  4. Step 4: Simplify right side
    535,074.65x = 144,554,724,954.54
  5. Step 5: Solve for x
    x = 144,554,724,954.54/535,074.65
  6. Step 6: Final answer
    x = 270,158.05

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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.