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Finding the Fourth Proportional to 397,343.70, 596,015.55 and 97,821.90

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Solution

The fourth proportional to 397,343.70, 596,015.55 and 97,821.90 is: 146,732.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,343.70 : 596,015.55 = 97,821.90 : x
  2. Step 2: Convert to fraction form
    397,343.70/596,015.55 = 97,821.90/x
  3. Step 3: Cross multiply
    397,343.70x = 596,015.55 × 97,821.90
  4. Step 4: Simplify right side
    397,343.70x = 58,303,373,530.55
  5. Step 5: Solve for x
    x = 58,303,373,530.55/397,343.70
  6. Step 6: Final answer
    x = 146,732.85

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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.