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Finding the Fourth Proportional to 462,353.10, 693,466.92 and 125,415.42

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Solution

The fourth proportional to 462,353.10, 693,466.92 and 125,415.42 is: 188,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,353.10 : 693,466.92 = 125,415.42 : x
  2. Step 2: Convert to fraction form
    462,353.10/693,466.92 = 125,415.42/x
  3. Step 3: Cross multiply
    462,353.10x = 693,466.92 × 125,415.42
  4. Step 4: Simplify right side
    462,353.10x = 86,971,445,027.91
  5. Step 5: Solve for x
    x = 86,971,445,027.91/462,353.10
  6. Step 6: Final answer
    x = 188,106.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.