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Finding the Fourth Proportional to 471,996.20, 707,216.70 and 402,012.20

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Solution

The fourth proportional to 471,996.20, 707,216.70 and 402,012.20 is: 602,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,996.20 : 707,216.70 = 402,012.20 : x
  2. Step 2: Convert to fraction form
    471,996.20/707,216.70 = 402,012.20/x
  3. Step 3: Cross multiply
    471,996.20x = 707,216.70 × 402,012.20
  4. Step 4: Simplify right side
    471,996.20x = 284,309,741,443.74
  5. Step 5: Solve for x
    x = 284,309,741,443.74/471,996.20
  6. Step 6: Final answer
    x = 602,356.00

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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.