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Finding the Fourth Proportional to 419,947.40, 629,921.10 and 153,619.40

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Solution

The fourth proportional to 419,947.40, 629,921.10 and 153,619.40 is: 230,429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,947.40 : 629,921.10 = 153,619.40 : x
  2. Step 2: Convert to fraction form
    419,947.40/629,921.10 = 153,619.40/x
  3. Step 3: Cross multiply
    419,947.40x = 629,921.10 × 153,619.40
  4. Step 4: Simplify right side
    419,947.40x = 96,768,101,429.34
  5. Step 5: Solve for x
    x = 96,768,101,429.34/419,947.40
  6. Step 6: Final answer
    x = 230,429.10

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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.