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Finding the Fourth Proportional to 523,851.30, 784,610.55 and 453,867.30

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Solution

The fourth proportional to 523,851.30, 784,610.55 and 453,867.30 is: 679,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,851.30 : 784,610.55 = 453,867.30 : x
  2. Step 2: Convert to fraction form
    523,851.30/784,610.55 = 453,867.30/x
  3. Step 3: Cross multiply
    523,851.30x = 784,610.55 × 453,867.30
  4. Step 4: Simplify right side
    523,851.30x = 356,109,071,880.02
  5. Step 5: Solve for x
    x = 356,109,071,880.02/523,851.30
  6. Step 6: Final answer
    x = 679,790.38

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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.