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Finding the Fourth Proportional to 323,730, 446,752.98 and 180,474.21

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Solution

The fourth proportional to 323,730, 446,752.98 and 180,474.21 is: 249,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,730 : 446,752.98 = 180,474.21 : x
  2. Step 2: Convert to fraction form
    323,730/446,752.98 = 180,474.21/x
  3. Step 3: Cross multiply
    323,730x = 446,752.98 × 180,474.21
  4. Step 4: Simplify right side
    323,730x = 80,627,391,130.65
  5. Step 5: Solve for x
    x = 80,627,391,130.65/323,730
  6. Step 6: Final answer
    x = 249,057.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.