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Finding the Fourth Proportional to 523,006.45, 784,509.68 and 523,006.45

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Solution

The fourth proportional to 523,006.45, 784,509.68 and 523,006.45 is: 784,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,006.45 : 784,509.68 = 523,006.45 : x
  2. Step 2: Convert to fraction form
    523,006.45/784,509.68 = 523,006.45/x
  3. Step 3: Cross multiply
    523,006.45x = 784,509.68 × 523,006.45
  4. Step 4: Simplify right side
    523,006.45x = 410,303,620,112.40
  5. Step 5: Solve for x
    x = 410,303,620,112.40/523,006.45
  6. Step 6: Final answer
    x = 784,509.68

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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.