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Finding the Fourth Proportional to 523,089.36, 784,750.32 and 190,665.36

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Solution

The fourth proportional to 523,089.36, 784,750.32 and 190,665.36 is: 286,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,089.36 : 784,750.32 = 190,665.36 : x
  2. Step 2: Convert to fraction form
    523,089.36/784,750.32 = 190,665.36/x
  3. Step 3: Cross multiply
    523,089.36x = 784,750.32 × 190,665.36
  4. Step 4: Simplify right side
    523,089.36x = 149,624,702,272.92
  5. Step 5: Solve for x
    x = 149,624,702,272.92/523,089.36
  6. Step 6: Final answer
    x = 286,040.42

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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.