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Finding the Fourth Proportional to 313,512.96, 432,771.96 and 218,075.04

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Solution

The fourth proportional to 313,512.96, 432,771.96 and 218,075.04 is: 301,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,512.96 : 432,771.96 = 218,075.04 : x
  2. Step 2: Convert to fraction form
    313,512.96/432,771.96 = 218,075.04/x
  3. Step 3: Cross multiply
    313,512.96x = 432,771.96 × 218,075.04
  4. Step 4: Simplify right side
    313,512.96x = 94,376,762,487.88
  5. Step 5: Solve for x
    x = 94,376,762,487.88/313,512.96
  6. Step 6: Final answer
    x = 301,029.86

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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.