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Finding the Fourth Proportional to 535,072.91, 802,732.88 and 180,078.26

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Solution

The fourth proportional to 535,072.91, 802,732.88 and 180,078.26 is: 270,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,072.91 : 802,732.88 = 180,078.26 : x
  2. Step 2: Convert to fraction form
    535,072.91/802,732.88 = 180,078.26/x
  3. Step 3: Cross multiply
    535,072.91x = 802,732.88 × 180,078.26
  4. Step 4: Simplify right side
    535,072.91x = 144,554,736,711.72
  5. Step 5: Solve for x
    x = 144,554,736,711.72/535,072.91
  6. Step 6: Final answer
    x = 270,158.95

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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.