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Finding the Fourth Proportional to 506,833.65, 699,361.20 and 302,841.50

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Solution

The fourth proportional to 506,833.65, 699,361.20 and 302,841.50 is: 417,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,833.65 : 699,361.20 = 302,841.50 : x
  2. Step 2: Convert to fraction form
    506,833.65/699,361.20 = 302,841.50/x
  3. Step 3: Cross multiply
    506,833.65x = 699,361.20 × 302,841.50
  4. Step 4: Simplify right side
    506,833.65x = 211,795,591,352.99
  5. Step 5: Solve for x
    x = 211,795,591,352.99/506,833.65
  6. Step 6: Final answer
    x = 417,879.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.