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Finding the Fourth Proportional to 523,043.30, 784,564.95 and 523,043.30

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Solution

The fourth proportional to 523,043.30, 784,564.95 and 523,043.30 is: 784,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,043.30 : 784,564.95 = 523,043.30 : x
  2. Step 2: Convert to fraction form
    523,043.30/784,564.95 = 523,043.30/x
  3. Step 3: Cross multiply
    523,043.30x = 784,564.95 × 523,043.30
  4. Step 4: Simplify right side
    523,043.30x = 410,361,440,512.34
  5. Step 5: Solve for x
    x = 410,361,440,512.34/523,043.30
  6. Step 6: Final answer
    x = 784,564.95

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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.