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Finding the Fourth Proportional to 523,053, 784,696.14 and 190,629

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Solution

The fourth proportional to 523,053, 784,696.14 and 190,629 is: 285,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,053 : 784,696.14 = 190,629 : x
  2. Step 2: Convert to fraction form
    523,053/784,696.14 = 190,629/x
  3. Step 3: Cross multiply
    523,053x = 784,696.14 × 190,629
  4. Step 4: Simplify right side
    523,053x = 149,585,840,472.06
  5. Step 5: Solve for x
    x = 149,585,840,472.06/523,053
  6. Step 6: Final answer
    x = 285,986.01

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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.