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Finding the Fourth Proportional to 412,933.90, 618,416.70 and 412,933.90

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Solution

The fourth proportional to 412,933.90, 618,416.70 and 412,933.90 is: 618,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,933.90 : 618,416.70 = 412,933.90 : x
  2. Step 2: Convert to fraction form
    412,933.90/618,416.70 = 412,933.90/x
  3. Step 3: Cross multiply
    412,933.90x = 618,416.70 × 412,933.90
  4. Step 4: Simplify right side
    412,933.90x = 255,365,219,756.13
  5. Step 5: Solve for x
    x = 255,365,219,756.13/412,933.90
  6. Step 6: Final answer
    x = 618,416.70

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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.