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Finding the Fourth Proportional to 323,709.50, 446,713.98 and 180,478.28

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Solution

The fourth proportional to 323,709.50, 446,713.98 and 180,478.28 is: 249,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,709.50 : 446,713.98 = 180,478.28 : x
  2. Step 2: Convert to fraction form
    323,709.50/446,713.98 = 180,478.28/x
  3. Step 3: Cross multiply
    323,709.50x = 446,713.98 × 180,478.28
  4. Step 4: Simplify right side
    323,709.50x = 80,622,170,762.35
  5. Step 5: Solve for x
    x = 80,622,170,762.35/323,709.50
  6. Step 6: Final answer
    x = 249,057.17

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1.5x scale

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.