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Finding the Fourth Proportional to 313,878.22, 433,160.49 and 170,648.14

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Solution

The fourth proportional to 313,878.22, 433,160.49 and 170,648.14 is: 235,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,878.22 : 433,160.49 = 170,648.14 : x
  2. Step 2: Convert to fraction form
    313,878.22/433,160.49 = 170,648.14/x
  3. Step 3: Cross multiply
    313,878.22x = 433,160.49 × 170,648.14
  4. Step 4: Simplify right side
    313,878.22x = 73,918,031,939.99
  5. Step 5: Solve for x
    x = 73,918,031,939.99/313,878.22
  6. Step 6: Final answer
    x = 235,499.08

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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.