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Finding the Fourth Proportional to 204,322.50, 306,483.75 and 56,578.50

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Solution

The fourth proportional to 204,322.50, 306,483.75 and 56,578.50 is: 84,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,322.50 : 306,483.75 = 56,578.50 : x
  2. Step 2: Convert to fraction form
    204,322.50/306,483.75 = 56,578.50/x
  3. Step 3: Cross multiply
    204,322.50x = 306,483.75 × 56,578.50
  4. Step 4: Simplify right side
    204,322.50x = 17,340,390,849.38
  5. Step 5: Solve for x
    x = 17,340,390,849.38/204,322.50
  6. Step 6: Final answer
    x = 84,867.75

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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.