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Finding the Fourth Proportional to 413,792.02, 620,373.30 and 213,984.96

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Solution

The fourth proportional to 413,792.02, 620,373.30 and 213,984.96 is: 320,814.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,792.02 : 620,373.30 = 213,984.96 : x
  2. Step 2: Convert to fraction form
    413,792.02/620,373.30 = 213,984.96/x
  3. Step 3: Cross multiply
    413,792.02x = 620,373.30 × 213,984.96
  4. Step 4: Simplify right side
    413,792.02x = 132,750,559,696.62
  5. Step 5: Solve for x
    x = 132,750,559,696.62/413,792.02
  6. Step 6: Final answer
    x = 320,814.69

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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.