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Finding the Fourth Proportional to 462,331.08, 693,638.28 and 414,644.76

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Solution

The fourth proportional to 462,331.08, 693,638.28 and 414,644.76 is: 622,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,331.08 : 693,638.28 = 414,644.76 : x
  2. Step 2: Convert to fraction form
    462,331.08/693,638.28 = 414,644.76/x
  3. Step 3: Cross multiply
    462,331.08x = 693,638.28 × 414,644.76
  4. Step 4: Simplify right side
    462,331.08x = 287,613,478,137.41
  5. Step 5: Solve for x
    x = 287,613,478,137.41/462,331.08
  6. Step 6: Final answer
    x = 622,094.19

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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.