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Finding the Fourth Proportional to 385,447.72, 578,418.36 and 208,078.24

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Solution

The fourth proportional to 385,447.72, 578,418.36 and 208,078.24 is: 312,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,447.72 : 578,418.36 = 208,078.24 : x
  2. Step 2: Convert to fraction form
    385,447.72/578,418.36 = 208,078.24/x
  3. Step 3: Cross multiply
    385,447.72x = 578,418.36 × 208,078.24
  4. Step 4: Simplify right side
    385,447.72x = 120,356,274,332.49
  5. Step 5: Solve for x
    x = 120,356,274,332.49/385,447.72
  6. Step 6: Final answer
    x = 312,250.58

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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.