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Finding the Fourth Proportional to 466,329.40, 699,494.10 and 429,587.80

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Solution

The fourth proportional to 466,329.40, 699,494.10 and 429,587.80 is: 644,381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,329.40 : 699,494.10 = 429,587.80 : x
  2. Step 2: Convert to fraction form
    466,329.40/699,494.10 = 429,587.80/x
  3. Step 3: Cross multiply
    466,329.40x = 699,494.10 × 429,587.80
  4. Step 4: Simplify right side
    466,329.40x = 300,494,131,531.98
  5. Step 5: Solve for x
    x = 300,494,131,531.98/466,329.40
  6. Step 6: Final answer
    x = 644,381.70

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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.