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Finding the Fourth Proportional to 433,591.68, 597,546 and 312,523.68

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Solution

The fourth proportional to 433,591.68, 597,546 and 312,523.68 is: 430,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,591.68 : 597,546 = 312,523.68 : x
  2. Step 2: Convert to fraction form
    433,591.68/597,546 = 312,523.68/x
  3. Step 3: Cross multiply
    433,591.68x = 597,546 × 312,523.68
  4. Step 4: Simplify right side
    433,591.68x = 186,747,274,889.28
  5. Step 5: Solve for x
    x = 186,747,274,889.28/433,591.68
  6. Step 6: Final answer
    x = 430,698.47

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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.