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Finding the Fourth Proportional to 520,031.60, 780,133.80 and 204,498.80

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Solution

The fourth proportional to 520,031.60, 780,133.80 and 204,498.80 is: 306,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,031.60 : 780,133.80 = 204,498.80 : x
  2. Step 2: Convert to fraction form
    520,031.60/780,133.80 = 204,498.80/x
  3. Step 3: Cross multiply
    520,031.60x = 780,133.80 × 204,498.80
  4. Step 4: Simplify right side
    520,031.60x = 159,536,425,939.44
  5. Step 5: Solve for x
    x = 159,536,425,939.44/520,031.60
  6. Step 6: Final answer
    x = 306,782.18

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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.