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Finding the Fourth Proportional to 523,133.80, 784,696.56 and 346,431.52

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Solution

The fourth proportional to 523,133.80, 784,696.56 and 346,431.52 is: 519,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,133.80 : 784,696.56 = 346,431.52 : x
  2. Step 2: Convert to fraction form
    523,133.80/784,696.56 = 346,431.52/x
  3. Step 3: Cross multiply
    523,133.80x = 784,696.56 × 346,431.52
  4. Step 4: Simplify right side
    523,133.80x = 271,843,622,019.57
  5. Step 5: Solve for x
    x = 271,843,622,019.57/523,133.80
  6. Step 6: Final answer
    x = 519,644.54

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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.