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Finding the Fourth Proportional to 323,031.65, 484,646.76 and 165,370.82

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Solution

The fourth proportional to 323,031.65, 484,646.76 and 165,370.82 is: 248,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,031.65 : 484,646.76 = 165,370.82 : x
  2. Step 2: Convert to fraction form
    323,031.65/484,646.76 = 165,370.82/x
  3. Step 3: Cross multiply
    323,031.65x = 484,646.76 × 165,370.82
  4. Step 4: Simplify right side
    323,031.65x = 80,146,429,688.31
  5. Step 5: Solve for x
    x = 80,146,429,688.31/323,031.65
  6. Step 6: Final answer
    x = 248,107.05

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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.