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Finding the Fourth Proportional to 384,181.01, 530,239.19 and 229,142.24

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Solution

The fourth proportional to 384,181.01, 530,239.19 and 229,142.24 is: 316,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,181.01 : 530,239.19 = 229,142.24 : x
  2. Step 2: Convert to fraction form
    384,181.01/530,239.19 = 229,142.24/x
  3. Step 3: Cross multiply
    384,181.01x = 530,239.19 × 229,142.24
  4. Step 4: Simplify right side
    384,181.01x = 121,500,191,935.48
  5. Step 5: Solve for x
    x = 121,500,191,935.48/384,181.01
  6. Step 6: Final answer
    x = 316,257.68

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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.