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Finding the Fourth Proportional to 257,058.29, 354,690.03 and 161,509.63

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Solution

The fourth proportional to 257,058.29, 354,690.03 and 161,509.63 is: 222,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,058.29 : 354,690.03 = 161,509.63 : x
  2. Step 2: Convert to fraction form
    257,058.29/354,690.03 = 161,509.63/x
  3. Step 3: Cross multiply
    257,058.29x = 354,690.03 × 161,509.63
  4. Step 4: Simplify right side
    257,058.29x = 57,285,855,509.99
  5. Step 5: Solve for x
    x = 57,285,855,509.99/257,058.29
  6. Step 6: Final answer
    x = 222,851.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.