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Finding the Fourth Proportional to 289,015.80, 433,523.70 and 164,599.80

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Solution

The fourth proportional to 289,015.80, 433,523.70 and 164,599.80 is: 246,899.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,015.80 : 433,523.70 = 164,599.80 : x
  2. Step 2: Convert to fraction form
    289,015.80/433,523.70 = 164,599.80/x
  3. Step 3: Cross multiply
    289,015.80x = 433,523.70 × 164,599.80
  4. Step 4: Simplify right side
    289,015.80x = 71,357,914,315.26
  5. Step 5: Solve for x
    x = 71,357,914,315.26/289,015.80
  6. Step 6: Final answer
    x = 246,899.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.