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Finding the Fourth Proportional to 419,615.60, 629,423.40 and 209,663.60

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Solution

The fourth proportional to 419,615.60, 629,423.40 and 209,663.60 is: 314,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,615.60 : 629,423.40 = 209,663.60 : x
  2. Step 2: Convert to fraction form
    419,615.60/629,423.40 = 209,663.60/x
  3. Step 3: Cross multiply
    419,615.60x = 629,423.40 × 209,663.60
  4. Step 4: Simplify right side
    419,615.60x = 131,967,175,968.24
  5. Step 5: Solve for x
    x = 131,967,175,968.24/419,615.60
  6. Step 6: Final answer
    x = 314,495.40

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1.5x scale

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.