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Finding the Fourth Proportional to 343,207.47, 514,814.24 and 140,914.83

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Solution

The fourth proportional to 343,207.47, 514,814.24 and 140,914.83 is: 211,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,207.47 : 514,814.24 = 140,914.83 : x
  2. Step 2: Convert to fraction form
    343,207.47/514,814.24 = 140,914.83/x
  3. Step 3: Cross multiply
    343,207.47x = 514,814.24 × 140,914.83
  4. Step 4: Simplify right side
    343,207.47x = 72,544,961,463.47
  5. Step 5: Solve for x
    x = 72,544,961,463.47/343,207.47
  6. Step 6: Final answer
    x = 211,373.49

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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.