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Finding the Fourth Proportional to 524,682.80, 785,857.80 and 405,969.20

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Solution

The fourth proportional to 524,682.80, 785,857.80 and 405,969.20 is: 608,051.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,682.80 : 785,857.80 = 405,969.20 : x
  2. Step 2: Convert to fraction form
    524,682.80/785,857.80 = 405,969.20/x
  3. Step 3: Cross multiply
    524,682.80x = 785,857.80 × 405,969.20
  4. Step 4: Simplify right side
    524,682.80x = 319,034,062,379.76
  5. Step 5: Solve for x
    x = 319,034,062,379.76/524,682.80
  6. Step 6: Final answer
    x = 608,051.31

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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.