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Finding the Fourth Proportional to 387,204.60, 580,346.10 and 162,564.60

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Solution

The fourth proportional to 387,204.60, 580,346.10 and 162,564.60 is: 243,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,204.60 : 580,346.10 = 162,564.60 : x
  2. Step 2: Convert to fraction form
    387,204.60/580,346.10 = 162,564.60/x
  3. Step 3: Cross multiply
    387,204.60x = 580,346.10 × 162,564.60
  4. Step 4: Simplify right side
    387,204.60x = 94,343,731,608.06
  5. Step 5: Solve for x
    x = 94,343,731,608.06/387,204.60
  6. Step 6: Final answer
    x = 243,653.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.