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Finding the Fourth Proportional to 397,483.72, 596,004.16 and 207,468.52

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Solution

The fourth proportional to 397,483.72, 596,004.16 and 207,468.52 is: 311,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,483.72 : 596,004.16 = 207,468.52 : x
  2. Step 2: Convert to fraction form
    397,483.72/596,004.16 = 207,468.52/x
  3. Step 3: Cross multiply
    397,483.72x = 596,004.16 × 207,468.52
  4. Step 4: Simplify right side
    397,483.72x = 123,652,100,989.04
  5. Step 5: Solve for x
    x = 123,652,100,989.04/397,483.72
  6. Step 6: Final answer
    x = 311,087.21

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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.