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Finding the Fourth Proportional to 284,189.71, 425,999.44 and 97,073.23

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Solution

The fourth proportional to 284,189.71, 425,999.44 and 97,073.23 is: 145,512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,189.71 : 425,999.44 = 97,073.23 : x
  2. Step 2: Convert to fraction form
    284,189.71/425,999.44 = 97,073.23/x
  3. Step 3: Cross multiply
    284,189.71x = 425,999.44 × 97,073.23
  4. Step 4: Simplify right side
    284,189.71x = 41,353,141,618.99
  5. Step 5: Solve for x
    x = 41,353,141,618.99/284,189.71
  6. Step 6: Final answer
    x = 145,512.45

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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.