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Finding the Fourth Proportional to 410,815.20, 616,222.80 and 189,631.20

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Solution

The fourth proportional to 410,815.20, 616,222.80 and 189,631.20 is: 284,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,815.20 : 616,222.80 = 189,631.20 : x
  2. Step 2: Convert to fraction form
    410,815.20/616,222.80 = 189,631.20/x
  3. Step 3: Cross multiply
    410,815.20x = 616,222.80 × 189,631.20
  4. Step 4: Simplify right side
    410,815.20x = 116,855,069,031.36
  5. Step 5: Solve for x
    x = 116,855,069,031.36/410,815.20
  6. Step 6: Final answer
    x = 284,446.80

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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.