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Finding the Fourth Proportional to 411,562.80, 620,428.92 and 384,129.61

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Solution

The fourth proportional to 411,562.80, 620,428.92 and 384,129.61 is: 579,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,562.80 : 620,428.92 = 384,129.61 : x
  2. Step 2: Convert to fraction form
    411,562.80/620,428.92 = 384,129.61/x
  3. Step 3: Cross multiply
    411,562.80x = 620,428.92 × 384,129.61
  4. Step 4: Simplify right side
    411,562.80x = 238,325,116,080.76
  5. Step 5: Solve for x
    x = 238,325,116,080.76/411,562.80
  6. Step 6: Final answer
    x = 579,073.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.