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Finding the Fourth Proportional to 342,996.42, 514,494.84 and 143,207.94

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Solution

The fourth proportional to 342,996.42, 514,494.84 and 143,207.94 is: 214,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,996.42 : 514,494.84 = 143,207.94 : x
  2. Step 2: Convert to fraction form
    342,996.42/514,494.84 = 143,207.94/x
  3. Step 3: Cross multiply
    342,996.42x = 514,494.84 × 143,207.94
  4. Step 4: Simplify right side
    342,996.42x = 73,679,746,177.03
  5. Step 5: Solve for x
    x = 73,679,746,177.03/342,996.42
  6. Step 6: Final answer
    x = 214,812.00

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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.