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Finding the Fourth Proportional to 410,638.95, 566,644.88 and 229,325.72

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Solution

The fourth proportional to 410,638.95, 566,644.88 and 229,325.72 is: 316,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,638.95 : 566,644.88 = 229,325.72 : x
  2. Step 2: Convert to fraction form
    410,638.95/566,644.88 = 229,325.72/x
  3. Step 3: Cross multiply
    410,638.95x = 566,644.88 × 229,325.72
  4. Step 4: Simplify right side
    410,638.95x = 129,946,245,090.31
  5. Step 5: Solve for x
    x = 129,946,245,090.31/410,638.95
  6. Step 6: Final answer
    x = 316,448.90

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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.