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Finding the Fourth Proportional to 523,683.12, 784,434.81 and 333,199.92

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Solution

The fourth proportional to 523,683.12, 784,434.81 and 333,199.92 is: 499,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,683.12 : 784,434.81 = 333,199.92 : x
  2. Step 2: Convert to fraction form
    523,683.12/784,434.81 = 333,199.92/x
  3. Step 3: Cross multiply
    523,683.12x = 784,434.81 × 333,199.92
  4. Step 4: Simplify right side
    523,683.12x = 261,373,615,937.22
  5. Step 5: Solve for x
    x = 261,373,615,937.22/523,683.12
  6. Step 6: Final answer
    x = 499,106.44

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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.