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Finding the Fourth Proportional to 411,253.02, 567,525.96 and 229,965.30

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Solution

The fourth proportional to 411,253.02, 567,525.96 and 229,965.30 is: 317,350.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,253.02 : 567,525.96 = 229,965.30 : x
  2. Step 2: Convert to fraction form
    411,253.02/567,525.96 = 229,965.30/x
  3. Step 3: Cross multiply
    411,253.02x = 567,525.96 × 229,965.30
  4. Step 4: Simplify right side
    411,253.02x = 130,511,277,649.19
  5. Step 5: Solve for x
    x = 130,511,277,649.19/411,253.02
  6. Step 6: Final answer
    x = 317,350.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.