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Finding the Fourth Proportional to 308,365.98, 462,580.70 and 116,402.09

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Solution

The fourth proportional to 308,365.98, 462,580.70 and 116,402.09 is: 174,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,365.98 : 462,580.70 = 116,402.09 : x
  2. Step 2: Convert to fraction form
    308,365.98/462,580.70 = 116,402.09/x
  3. Step 3: Cross multiply
    308,365.98x = 462,580.70 × 116,402.09
  4. Step 4: Simplify right side
    308,365.98x = 53,845,357,378.75
  5. Step 5: Solve for x
    x = 53,845,357,378.75/308,365.98
  6. Step 6: Final answer
    x = 174,615.10

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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.