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Finding the Fourth Proportional to 410,894.45, 567,023.45 and 229,607.87

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Solution

The fourth proportional to 410,894.45, 567,023.45 and 229,607.87 is: 316,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,894.45 : 567,023.45 = 229,607.87 : x
  2. Step 2: Convert to fraction form
    410,894.45/567,023.45 = 229,607.87/x
  3. Step 3: Cross multiply
    410,894.45x = 567,023.45 × 229,607.87
  4. Step 4: Simplify right side
    410,894.45x = 130,193,045,800.90
  5. Step 5: Solve for x
    x = 130,193,045,800.90/410,894.45
  6. Step 6: Final answer
    x = 316,852.77

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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.