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Finding the Fourth Proportional to 344,077.20, 514,657.80 and 308,793.60

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Solution

The fourth proportional to 344,077.20, 514,657.80 and 308,793.60 is: 461,881.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,077.20 : 514,657.80 = 308,793.60 : x
  2. Step 2: Convert to fraction form
    344,077.20/514,657.80 = 308,793.60/x
  3. Step 3: Cross multiply
    344,077.20x = 514,657.80 × 308,793.60
  4. Step 4: Simplify right side
    344,077.20x = 158,923,034,830.08
  5. Step 5: Solve for x
    x = 158,923,034,830.08/344,077.20
  6. Step 6: Final answer
    x = 461,881.91

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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.