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Finding the Fourth Proportional to 471,314.20, 706,971.30 and 282,357.40

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Solution

The fourth proportional to 471,314.20, 706,971.30 and 282,357.40 is: 423,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,314.20 : 706,971.30 = 282,357.40 : x
  2. Step 2: Convert to fraction form
    471,314.20/706,971.30 = 282,357.40/x
  3. Step 3: Cross multiply
    471,314.20x = 706,971.30 × 282,357.40
  4. Step 4: Simplify right side
    471,314.20x = 199,618,578,142.62
  5. Step 5: Solve for x
    x = 199,618,578,142.62/471,314.20
  6. Step 6: Final answer
    x = 423,536.10

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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.