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Finding the Fourth Proportional to 284,188.96, 425,998.32 and 97,072.48

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Solution

The fourth proportional to 284,188.96, 425,998.32 and 97,072.48 is: 145,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,188.96 : 425,998.32 = 97,072.48 : x
  2. Step 2: Convert to fraction form
    284,188.96/425,998.32 = 97,072.48/x
  3. Step 3: Cross multiply
    284,188.96x = 425,998.32 × 97,072.48
  4. Step 4: Simplify right side
    284,188.96x = 41,352,713,398.23
  5. Step 5: Solve for x
    x = 41,352,713,398.23/284,188.96
  6. Step 6: Final answer
    x = 145,511.33

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1.5x scale

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.