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Finding the Fourth Proportional to 471,328.57, 706,983.29 and 116,345.67

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Solution

The fourth proportional to 471,328.57, 706,983.29 and 116,345.67 is: 174,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,328.57 : 706,983.29 = 116,345.67 : x
  2. Step 2: Convert to fraction form
    471,328.57/706,983.29 = 116,345.67/x
  3. Step 3: Cross multiply
    471,328.57x = 706,983.29 × 116,345.67
  4. Step 4: Simplify right side
    471,328.57x = 82,254,441,757.23
  5. Step 5: Solve for x
    x = 82,254,441,757.23/471,328.57
  6. Step 6: Final answer
    x = 174,516.14

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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.