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Finding the Fourth Proportional to 364,705.56, 546,684.12 and 140,005.49

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Solution

The fourth proportional to 364,705.56, 546,684.12 and 140,005.49 is: 209,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,705.56 : 546,684.12 = 140,005.49 : x
  2. Step 2: Convert to fraction form
    364,705.56/546,684.12 = 140,005.49/x
  3. Step 3: Cross multiply
    364,705.56x = 546,684.12 × 140,005.49
  4. Step 4: Simplify right side
    364,705.56x = 76,538,778,095.82
  5. Step 5: Solve for x
    x = 76,538,778,095.82/364,705.56
  6. Step 6: Final answer
    x = 209,864.58

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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.