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Finding the Fourth Proportional to 284,966.10, 427,534.74 and 85,293

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Solution

The fourth proportional to 284,966.10, 427,534.74 and 85,293 is: 127,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,966.10 : 427,534.74 = 85,293 : x
  2. Step 2: Convert to fraction form
    284,966.10/427,534.74 = 85,293/x
  3. Step 3: Cross multiply
    284,966.10x = 427,534.74 × 85,293
  4. Step 4: Simplify right side
    284,966.10x = 36,465,720,578.82
  5. Step 5: Solve for x
    x = 36,465,720,578.82/284,966.10
  6. Step 6: Final answer
    x = 127,965.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.