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Finding the Fourth Proportional to 344,114.20, 514,713.30 and 308,830.60

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Solution

The fourth proportional to 344,114.20, 514,713.30 and 308,830.60 is: 461,937.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,114.20 : 514,713.30 = 308,830.60 : x
  2. Step 2: Convert to fraction form
    344,114.20/514,713.30 = 308,830.60/x
  3. Step 3: Cross multiply
    344,114.20x = 514,713.30 × 308,830.60
  4. Step 4: Simplify right side
    344,114.20x = 158,959,217,266.98
  5. Step 5: Solve for x
    x = 158,959,217,266.98/344,114.20
  6. Step 6: Final answer
    x = 461,937.40

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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.