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Finding the Fourth Proportional to 491,029.60, 735,766.80 and 411,714.40

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Solution

The fourth proportional to 491,029.60, 735,766.80 and 411,714.40 is: 616,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,029.60 : 735,766.80 = 411,714.40 : x
  2. Step 2: Convert to fraction form
    491,029.60/735,766.80 = 411,714.40/x
  3. Step 3: Cross multiply
    491,029.60x = 735,766.80 × 411,714.40
  4. Step 4: Simplify right side
    491,029.60x = 302,925,786,601.92
  5. Step 5: Solve for x
    x = 302,925,786,601.92/491,029.60
  6. Step 6: Final answer
    x = 616,919.60

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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.