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Finding the Fourth Proportional to 204,248, 306,389.28 and 56,504

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Solution

The fourth proportional to 204,248, 306,389.28 and 56,504 is: 84,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,248 : 306,389.28 = 56,504 : x
  2. Step 2: Convert to fraction form
    204,248/306,389.28 = 56,504/x
  3. Step 3: Cross multiply
    204,248x = 306,389.28 × 56,504
  4. Step 4: Simplify right side
    204,248x = 17,312,219,877.12
  5. Step 5: Solve for x
    x = 17,312,219,877.12/204,248
  6. Step 6: Final answer
    x = 84,760.78

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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.