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Finding the Fourth Proportional to 415,744.68, 623,336.82 and 335,880.90

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Solution

The fourth proportional to 415,744.68, 623,336.82 and 335,880.90 is: 503,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,744.68 : 623,336.82 = 335,880.90 : x
  2. Step 2: Convert to fraction form
    415,744.68/623,336.82 = 335,880.90/x
  3. Step 3: Cross multiply
    415,744.68x = 623,336.82 × 335,880.90
  4. Step 4: Simplify right side
    415,744.68x = 209,366,932,104.74
  5. Step 5: Solve for x
    x = 209,366,932,104.74/415,744.68
  6. Step 6: Final answer
    x = 503,594.98

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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.