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Finding the Fourth Proportional to 471,536.39, 706,747.59 and 201,585.57

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Solution

The fourth proportional to 471,536.39, 706,747.59 and 201,585.57 is: 302,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,536.39 : 706,747.59 = 201,585.57 : x
  2. Step 2: Convert to fraction form
    471,536.39/706,747.59 = 201,585.57/x
  3. Step 3: Cross multiply
    471,536.39x = 706,747.59 × 201,585.57
  4. Step 4: Simplify right side
    471,536.39x = 142,470,115,776.28
  5. Step 5: Solve for x
    x = 142,470,115,776.28/471,536.39
  6. Step 6: Final answer
    x = 302,140.24

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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.