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Finding the Fourth Proportional to 471,210.72, 706,692.12 and 321,423.12

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Solution

The fourth proportional to 471,210.72, 706,692.12 and 321,423.12 is: 482,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,210.72 : 706,692.12 = 321,423.12 : x
  2. Step 2: Convert to fraction form
    471,210.72/706,692.12 = 321,423.12/x
  3. Step 3: Cross multiply
    471,210.72x = 706,692.12 × 321,423.12
  4. Step 4: Simplify right side
    471,210.72x = 227,147,186,089.81
  5. Step 5: Solve for x
    x = 227,147,186,089.81/471,210.72
  6. Step 6: Final answer
    x = 482,050.12

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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.