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Finding the Fourth Proportional to 456,856.08, 683,793.72 and 413,206.80

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Solution

The fourth proportional to 456,856.08, 683,793.72 and 413,206.80 is: 618,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,856.08 : 683,793.72 = 413,206.80 : x
  2. Step 2: Convert to fraction form
    456,856.08/683,793.72 = 413,206.80/x
  3. Step 3: Cross multiply
    456,856.08x = 683,793.72 × 413,206.80
  4. Step 4: Simplify right side
    456,856.08x = 282,548,214,901.30
  5. Step 5: Solve for x
    x = 282,548,214,901.30/456,856.08
  6. Step 6: Final answer
    x = 618,462.20

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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.