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Finding the Fourth Proportional to 401,082.24, 601,624.70 and 101,562.64

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Solution

The fourth proportional to 401,082.24, 601,624.70 and 101,562.64 is: 152,344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,082.24 : 601,624.70 = 101,562.64 : x
  2. Step 2: Convert to fraction form
    401,082.24/601,624.70 = 101,562.64/x
  3. Step 3: Cross multiply
    401,082.24x = 601,624.70 × 101,562.64
  4. Step 4: Simplify right side
    401,082.24x = 61,102,592,821.21
  5. Step 5: Solve for x
    x = 61,102,592,821.21/401,082.24
  6. Step 6: Final answer
    x = 152,344.30

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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.