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Finding the Fourth Proportional to 519,019.47, 716,207.94 and 338,078.07

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Solution

The fourth proportional to 519,019.47, 716,207.94 and 338,078.07 is: 466,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,019.47 : 716,207.94 = 338,078.07 : x
  2. Step 2: Convert to fraction form
    519,019.47/716,207.94 = 338,078.07/x
  3. Step 3: Cross multiply
    519,019.47x = 716,207.94 × 338,078.07
  4. Step 4: Simplify right side
    519,019.47x = 242,134,198,073.88
  5. Step 5: Solve for x
    x = 242,134,198,073.88/519,019.47
  6. Step 6: Final answer
    x = 466,522.38

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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.