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Finding the Fourth Proportional to 364,518.30, 546,777.45 and 164,845.20

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Solution

The fourth proportional to 364,518.30, 546,777.45 and 164,845.20 is: 247,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,518.30 : 546,777.45 = 164,845.20 : x
  2. Step 2: Convert to fraction form
    364,518.30/546,777.45 = 164,845.20/x
  3. Step 3: Cross multiply
    364,518.30x = 546,777.45 × 164,845.20
  4. Step 4: Simplify right side
    364,518.30x = 90,133,638,100.74
  5. Step 5: Solve for x
    x = 90,133,638,100.74/364,518.30
  6. Step 6: Final answer
    x = 247,267.80

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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.