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Finding the Fourth Proportional to 466,290.40, 699,435.60 and 429,548.80

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Solution

The fourth proportional to 466,290.40, 699,435.60 and 429,548.80 is: 644,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,290.40 : 699,435.60 = 429,548.80 : x
  2. Step 2: Convert to fraction form
    466,290.40/699,435.60 = 429,548.80/x
  3. Step 3: Cross multiply
    466,290.40x = 699,435.60 × 429,548.80
  4. Step 4: Simplify right side
    466,290.40x = 300,441,722,657.28
  5. Step 5: Solve for x
    x = 300,441,722,657.28/466,290.40
  6. Step 6: Final answer
    x = 644,323.20

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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.