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Finding the Fourth Proportional to 410,704.01, 566,734.59 and 229,390.77

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Solution

The fourth proportional to 410,704.01, 566,734.59 and 229,390.77 is: 316,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,704.01 : 566,734.59 = 229,390.77 : x
  2. Step 2: Convert to fraction form
    410,704.01/566,734.59 = 229,390.77/x
  3. Step 3: Cross multiply
    410,704.01x = 566,734.59 × 229,390.77
  4. Step 4: Simplify right side
    410,704.01x = 130,003,683,985.73
  5. Step 5: Solve for x
    x = 130,003,683,985.73/410,704.01
  6. Step 6: Final answer
    x = 316,538.63

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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.