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Finding the Fourth Proportional to 393,457.06, 590,218.11 and 165,818.53

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Solution

The fourth proportional to 393,457.06, 590,218.11 and 165,818.53 is: 248,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,457.06 : 590,218.11 = 165,818.53 : x
  2. Step 2: Convert to fraction form
    393,457.06/590,218.11 = 165,818.53/x
  3. Step 3: Cross multiply
    393,457.06x = 590,218.11 × 165,818.53
  4. Step 4: Simplify right side
    393,457.06x = 97,869,099,379.58
  5. Step 5: Solve for x
    x = 97,869,099,379.58/393,457.06
  6. Step 6: Final answer
    x = 248,741.50

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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.