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Finding the Fourth Proportional to 416,408.13, 624,617.28 and 146,544.30

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Solution

The fourth proportional to 416,408.13, 624,617.28 and 146,544.30 is: 219,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,408.13 : 624,617.28 = 146,544.30 : x
  2. Step 2: Convert to fraction form
    416,408.13/624,617.28 = 146,544.30/x
  3. Step 3: Cross multiply
    416,408.13x = 624,617.28 × 146,544.30
  4. Step 4: Simplify right side
    416,408.13x = 91,534,102,065.50
  5. Step 5: Solve for x
    x = 91,534,102,065.50/416,408.13
  6. Step 6: Final answer
    x = 219,818.24

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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.