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Finding the Fourth Proportional to 410,392.08, 566,369.64 and 229,139.64

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Solution

The fourth proportional to 410,392.08, 566,369.64 and 229,139.64 is: 316,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,392.08 : 566,369.64 = 229,139.64 : x
  2. Step 2: Convert to fraction form
    410,392.08/566,369.64 = 229,139.64/x
  3. Step 3: Cross multiply
    410,392.08x = 566,369.64 × 229,139.64
  4. Step 4: Simplify right side
    410,392.08x = 129,777,735,416.53
  5. Step 5: Solve for x
    x = 129,777,735,416.53/410,392.08
  6. Step 6: Final answer
    x = 316,228.65

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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.