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Finding the Fourth Proportional to 460,624.40, 689,770.20 and 341,651.60

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Solution

The fourth proportional to 460,624.40, 689,770.20 and 341,651.60 is: 511,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,624.40 : 689,770.20 = 341,651.60 : x
  2. Step 2: Convert to fraction form
    460,624.40/689,770.20 = 341,651.60/x
  3. Step 3: Cross multiply
    460,624.40x = 689,770.20 × 341,651.60
  4. Step 4: Simplify right side
    460,624.40x = 235,661,092,462.32
  5. Step 5: Solve for x
    x = 235,661,092,462.32/460,624.40
  6. Step 6: Final answer
    x = 511,612.26

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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.