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Finding the Fourth Proportional to 643,853.20, 965,779.80 and 511,142.80

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Solution

The fourth proportional to 643,853.20, 965,779.80 and 511,142.80 is: 766,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,853.20 : 965,779.80 = 511,142.80 : x
  2. Step 2: Convert to fraction form
    643,853.20/965,779.80 = 511,142.80/x
  3. Step 3: Cross multiply
    643,853.20x = 965,779.80 × 511,142.80
  4. Step 4: Simplify right side
    643,853.20x = 493,651,391,155.44
  5. Step 5: Solve for x
    x = 493,651,391,155.44/643,853.20
  6. Step 6: Final answer
    x = 766,714.20

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1.5x scale

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.