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Finding the Fourth Proportional to 413,965.17, 620,359.70 and 318,835.53

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Solution

The fourth proportional to 413,965.17, 620,359.70 and 318,835.53 is: 477,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,965.17 : 620,359.70 = 318,835.53 : x
  2. Step 2: Convert to fraction form
    413,965.17/620,359.70 = 318,835.53/x
  3. Step 3: Cross multiply
    413,965.17x = 620,359.70 × 318,835.53
  4. Step 4: Simplify right side
    413,965.17x = 197,792,712,145.96
  5. Step 5: Solve for x
    x = 197,792,712,145.96/413,965.17
  6. Step 6: Final answer
    x = 477,800.37

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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.