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Finding the Fourth Proportional to 342,991.14, 514,802.49 and 174,631.80

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Solution

The fourth proportional to 342,991.14, 514,802.49 and 174,631.80 is: 262,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,991.14 : 514,802.49 = 174,631.80 : x
  2. Step 2: Convert to fraction form
    342,991.14/514,802.49 = 174,631.80/x
  3. Step 3: Cross multiply
    342,991.14x = 514,802.49 × 174,631.80
  4. Step 4: Simplify right side
    342,991.14x = 89,900,885,473.18
  5. Step 5: Solve for x
    x = 89,900,885,473.18/342,991.14
  6. Step 6: Final answer
    x = 262,108.48

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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.