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Finding the Fourth Proportional to 506,834.03, 699,509.48 and 289,043.16

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Solution

The fourth proportional to 506,834.03, 699,509.48 and 289,043.16 is: 398,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,834.03 : 699,509.48 = 289,043.16 : x
  2. Step 2: Convert to fraction form
    506,834.03/699,509.48 = 289,043.16/x
  3. Step 3: Cross multiply
    506,834.03x = 699,509.48 × 289,043.16
  4. Step 4: Simplify right side
    506,834.03x = 202,188,429,103.94
  5. Step 5: Solve for x
    x = 202,188,429,103.94/506,834.03
  6. Step 6: Final answer
    x = 398,924.34

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