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Finding the Fourth Proportional to 471,875.20, 707,812.80 and 453,212.80

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Solution

The fourth proportional to 471,875.20, 707,812.80 and 453,212.80 is: 679,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,875.20 : 707,812.80 = 453,212.80 : x
  2. Step 2: Convert to fraction form
    471,875.20/707,812.80 = 453,212.80/x
  3. Step 3: Cross multiply
    471,875.20x = 707,812.80 × 453,212.80
  4. Step 4: Simplify right side
    471,875.20x = 320,789,820,963.84
  5. Step 5: Solve for x
    x = 320,789,820,963.84/471,875.20
  6. Step 6: Final answer
    x = 679,819.20

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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.