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Finding the Fourth Proportional to 462,564.12, 693,893.74 and 174,618.30

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Solution

The fourth proportional to 462,564.12, 693,893.74 and 174,618.30 is: 261,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,564.12 : 693,893.74 = 174,618.30 : x
  2. Step 2: Convert to fraction form
    462,564.12/693,893.74 = 174,618.30/x
  3. Step 3: Cross multiply
    462,564.12x = 693,893.74 × 174,618.30
  4. Step 4: Simplify right side
    462,564.12x = 121,166,545,259.44
  5. Step 5: Solve for x
    x = 121,166,545,259.44/462,564.12
  6. Step 6: Final answer
    x = 261,945.40

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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.