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Finding the Fourth Proportional to 419,951.60, 629,927.40 and 170,812.40

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Solution

The fourth proportional to 419,951.60, 629,927.40 and 170,812.40 is: 256,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,951.60 : 629,927.40 = 170,812.40 : x
  2. Step 2: Convert to fraction form
    419,951.60/629,927.40 = 170,812.40/x
  3. Step 3: Cross multiply
    419,951.60x = 629,927.40 × 170,812.40
  4. Step 4: Simplify right side
    419,951.60x = 107,599,411,019.76
  5. Step 5: Solve for x
    x = 107,599,411,019.76/419,951.60
  6. Step 6: Final answer
    x = 256,218.60

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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.