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Finding the Fourth Proportional to 471,329.07, 706,984.04 and 116,346.17

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Solution

The fourth proportional to 471,329.07, 706,984.04 and 116,346.17 is: 174,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,329.07 : 706,984.04 = 116,346.17 : x
  2. Step 2: Convert to fraction form
    471,329.07/706,984.04 = 116,346.17/x
  3. Step 3: Cross multiply
    471,329.07x = 706,984.04 × 116,346.17
  4. Step 4: Simplify right side
    471,329.07x = 82,254,881,770.21
  5. Step 5: Solve for x
    x = 82,254,881,770.21/471,329.07
  6. Step 6: Final answer
    x = 174,516.89

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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.