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Finding the Fourth Proportional to 465,461.64, 642,337.67 and 264,257.64

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Solution

The fourth proportional to 465,461.64, 642,337.67 and 264,257.64 is: 364,675.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,461.64 : 642,337.67 = 264,257.64 : x
  2. Step 2: Convert to fraction form
    465,461.64/642,337.67 = 264,257.64/x
  3. Step 3: Cross multiply
    465,461.64x = 642,337.67 × 264,257.64
  4. Step 4: Simplify right side
    465,461.64x = 169,742,636,757.30
  5. Step 5: Solve for x
    x = 169,742,636,757.30/465,461.64
  6. Step 6: Final answer
    x = 364,675.89

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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.