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Finding the Fourth Proportional to 429,853.40, 645,468.60 and 341,838.80

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Solution

The fourth proportional to 429,853.40, 645,468.60 and 341,838.80 is: 513,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,853.40 : 645,468.60 = 341,838.80 : x
  2. Step 2: Convert to fraction form
    429,853.40/645,468.60 = 341,838.80/x
  3. Step 3: Cross multiply
    429,853.40x = 645,468.60 × 341,838.80
  4. Step 4: Simplify right side
    429,853.40x = 220,646,211,661.68
  5. Step 5: Solve for x
    x = 220,646,211,661.68/429,853.40
  6. Step 6: Final answer
    x = 513,305.73

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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.