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Finding the Fourth Proportional to 519,700.20, 778,967.10 and 220,129.80

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Solution

The fourth proportional to 519,700.20, 778,967.10 and 220,129.80 is: 329,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,700.20 : 778,967.10 = 220,129.80 : x
  2. Step 2: Convert to fraction form
    519,700.20/778,967.10 = 220,129.80/x
  3. Step 3: Cross multiply
    519,700.20x = 778,967.10 × 220,129.80
  4. Step 4: Simplify right side
    519,700.20x = 171,473,871,929.58
  5. Step 5: Solve for x
    x = 171,473,871,929.58/519,700.20
  6. Step 6: Final answer
    x = 329,947.67

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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.