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Finding the Fourth Proportional to 507,122.03, 699,847.27 and 289,366.16

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Solution

The fourth proportional to 507,122.03, 699,847.27 and 289,366.16 is: 399,336.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,122.03 : 699,847.27 = 289,366.16 : x
  2. Step 2: Convert to fraction form
    507,122.03/699,847.27 = 289,366.16/x
  3. Step 3: Cross multiply
    507,122.03x = 699,847.27 × 289,366.16
  4. Step 4: Simplify right side
    507,122.03x = 202,512,117,106.38
  5. Step 5: Solve for x
    x = 202,512,117,106.38/507,122.03
  6. Step 6: Final answer
    x = 399,336.07

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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.