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Finding the Fourth Proportional to 513,165.60, 767,674.80 and 443,815.20

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Solution

The fourth proportional to 513,165.60, 767,674.80 and 443,815.20 is: 663,929.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,165.60 : 767,674.80 = 443,815.20 : x
  2. Step 2: Convert to fraction form
    513,165.60/767,674.80 = 443,815.20/x
  3. Step 3: Cross multiply
    513,165.60x = 767,674.80 × 443,815.20
  4. Step 4: Simplify right side
    513,165.60x = 340,705,744,896.96
  5. Step 5: Solve for x
    x = 340,705,744,896.96/513,165.60
  6. Step 6: Final answer
    x = 663,929.43

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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.