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Finding the Fourth Proportional to 323,315.72, 446,189.54 and 180,075.80

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Solution

The fourth proportional to 323,315.72, 446,189.54 and 180,075.80 is: 248,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,315.72 : 446,189.54 = 180,075.80 : x
  2. Step 2: Convert to fraction form
    323,315.72/446,189.54 = 180,075.80/x
  3. Step 3: Cross multiply
    323,315.72x = 446,189.54 × 180,075.80
  4. Step 4: Simplify right side
    323,315.72x = 80,347,938,367.13
  5. Step 5: Solve for x
    x = 80,347,938,367.13/323,315.72
  6. Step 6: Final answer
    x = 248,512.32

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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.