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Finding the Fourth Proportional to 417,878.01, 626,914.35 and 332,811

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Solution

The fourth proportional to 417,878.01, 626,914.35 and 332,811 is: 499,294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,878.01 : 626,914.35 = 332,811 : x
  2. Step 2: Convert to fraction form
    417,878.01/626,914.35 = 332,811/x
  3. Step 3: Cross multiply
    417,878.01x = 626,914.35 × 332,811
  4. Step 4: Simplify right side
    417,878.01x = 208,643,991,737.85
  5. Step 5: Solve for x
    x = 208,643,991,737.85/417,878.01
  6. Step 6: Final answer
    x = 499,294.02

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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.