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Finding the Fourth Proportional to 523,243, 784,981.50 and 190,819

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Solution

The fourth proportional to 523,243, 784,981.50 and 190,819 is: 286,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,243 : 784,981.50 = 190,819 : x
  2. Step 2: Convert to fraction form
    523,243/784,981.50 = 190,819/x
  3. Step 3: Cross multiply
    523,243x = 784,981.50 × 190,819
  4. Step 4: Simplify right side
    523,243x = 149,789,384,848.50
  5. Step 5: Solve for x
    x = 149,789,384,848.50/523,243
  6. Step 6: Final answer
    x = 286,271.17

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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.