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Finding the Fourth Proportional to 470,735.46, 706,108.11 and 186,495.18

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Solution

The fourth proportional to 470,735.46, 706,108.11 and 186,495.18 is: 279,744.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,735.46 : 706,108.11 = 186,495.18 : x
  2. Step 2: Convert to fraction form
    470,735.46/706,108.11 = 186,495.18/x
  3. Step 3: Cross multiply
    470,735.46x = 706,108.11 × 186,495.18
  4. Step 4: Simplify right side
    470,735.46x = 131,685,759,073.91
  5. Step 5: Solve for x
    x = 131,685,759,073.91/470,735.46
  6. Step 6: Final answer
    x = 279,744.72

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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.