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Finding the Fourth Proportional to 522,731.84, 784,004.04 and 138,483.24

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Solution

The fourth proportional to 522,731.84, 784,004.04 and 138,483.24 is: 207,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,731.84 : 784,004.04 = 138,483.24 : x
  2. Step 2: Convert to fraction form
    522,731.84/784,004.04 = 138,483.24/x
  3. Step 3: Cross multiply
    522,731.84x = 784,004.04 × 138,483.24
  4. Step 4: Simplify right side
    522,731.84x = 108,571,419,632.29
  5. Step 5: Solve for x
    x = 108,571,419,632.29/522,731.84
  6. Step 6: Final answer
    x = 207,700.03

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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.