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Finding the Fourth Proportional to 314,299.68, 433,744.20 and 171,064.92

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Solution

The fourth proportional to 314,299.68, 433,744.20 and 171,064.92 is: 236,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,299.68 : 433,744.20 = 171,064.92 : x
  2. Step 2: Convert to fraction form
    314,299.68/433,744.20 = 171,064.92/x
  3. Step 3: Cross multiply
    314,299.68x = 433,744.20 × 171,064.92
  4. Step 4: Simplify right side
    314,299.68x = 74,198,416,873.46
  5. Step 5: Solve for x
    x = 74,198,416,873.46/314,299.68
  6. Step 6: Final answer
    x = 236,075.38

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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.