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Finding the Fourth Proportional to 308,293.89, 462,125.63 and 174,892.35

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Solution

The fourth proportional to 308,293.89, 462,125.63 and 174,892.35 is: 262,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,293.89 : 462,125.63 = 174,892.35 : x
  2. Step 2: Convert to fraction form
    308,293.89/462,125.63 = 174,892.35/x
  3. Step 3: Cross multiply
    308,293.89x = 462,125.63 × 174,892.35
  4. Step 4: Simplify right side
    308,293.89x = 80,822,236,551.47
  5. Step 5: Solve for x
    x = 80,822,236,551.47/308,293.89
  6. Step 6: Final answer
    x = 262,159.71

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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.