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Finding the Fourth Proportional to 523,063.95, 784,668.83 and 223,542.15

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Solution

The fourth proportional to 523,063.95, 784,668.83 and 223,542.15 is: 335,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,063.95 : 784,668.83 = 223,542.15 : x
  2. Step 2: Convert to fraction form
    523,063.95/784,668.83 = 223,542.15/x
  3. Step 3: Cross multiply
    523,063.95x = 784,668.83 × 223,542.15
  4. Step 4: Simplify right side
    523,063.95x = 175,406,556,178.47
  5. Step 5: Solve for x
    x = 175,406,556,178.47/523,063.95
  6. Step 6: Final answer
    x = 335,344.38

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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.