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Finding the Fourth Proportional to 301,436.96, 416,177.87 and 186,837.48

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Solution

The fourth proportional to 301,436.96, 416,177.87 and 186,837.48 is: 257,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,436.96 : 416,177.87 = 186,837.48 : x
  2. Step 2: Convert to fraction form
    301,436.96/416,177.87 = 186,837.48/x
  3. Step 3: Cross multiply
    301,436.96x = 416,177.87 × 186,837.48
  4. Step 4: Simplify right side
    301,436.96x = 77,757,623,528.38
  5. Step 5: Solve for x
    x = 77,757,623,528.38/301,436.96
  6. Step 6: Final answer
    x = 257,956.51

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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.