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Finding the Fourth Proportional to 687,468.50, 948,713.02 and 385,668.98

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Solution

The fourth proportional to 687,468.50, 948,713.02 and 385,668.98 is: 532,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,468.50 : 948,713.02 = 385,668.98 : x
  2. Step 2: Convert to fraction form
    687,468.50/948,713.02 = 385,668.98/x
  3. Step 3: Cross multiply
    687,468.50x = 948,713.02 × 385,668.98
  4. Step 4: Simplify right side
    687,468.50x = 365,889,182,736.12
  5. Step 5: Solve for x
    x = 365,889,182,736.12/687,468.50
  6. Step 6: Final answer
    x = 532,226.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.