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Finding the Fourth Proportional to 978,833.59, 1,467,816.43 and 523,314.29

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Solution

The fourth proportional to 978,833.59, 1,467,816.43 and 523,314.29 is: 784,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,833.59 : 1,467,816.43 = 523,314.29 : x
  2. Step 2: Convert to fraction form
    978,833.59/1,467,816.43 = 523,314.29/x
  3. Step 3: Cross multiply
    978,833.59x = 1,467,816.43 × 523,314.29
  4. Step 4: Simplify right side
    978,833.59x = 768,129,312,915.79
  5. Step 5: Solve for x
    x = 768,129,312,915.79/978,833.59
  6. Step 6: Final answer
    x = 784,739.43

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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.