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Finding the Fourth Proportional to 471,204.30, 706,806.45 and 471,204.30

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Solution

The fourth proportional to 471,204.30, 706,806.45 and 471,204.30 is: 706,806.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,204.30 : 706,806.45 = 471,204.30 : x
  2. Step 2: Convert to fraction form
    471,204.30/706,806.45 = 471,204.30/x
  3. Step 3: Cross multiply
    471,204.30x = 706,806.45 × 471,204.30
  4. Step 4: Simplify right side
    471,204.30x = 333,050,238,507.74
  5. Step 5: Solve for x
    x = 333,050,238,507.74/471,204.30
  6. Step 6: Final answer
    x = 706,806.45

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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.