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Finding the Fourth Proportional to 536,826.98, 805,219.44 and 181,841

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Solution

The fourth proportional to 536,826.98, 805,219.44 and 181,841 is: 272,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,826.98 : 805,219.44 = 181,841 : x
  2. Step 2: Convert to fraction form
    536,826.98/805,219.44 = 181,841/x
  3. Step 3: Cross multiply
    536,826.98x = 805,219.44 × 181,841
  4. Step 4: Simplify right side
    536,826.98x = 146,421,908,189.04
  5. Step 5: Solve for x
    x = 146,421,908,189.04/536,826.98
  6. Step 6: Final answer
    x = 272,754.38

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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.