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Finding the Fourth Proportional to 314,185, 433,571.94 and 186,857.80

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Solution

The fourth proportional to 314,185, 433,571.94 and 186,857.80 is: 257,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,185 : 433,571.94 = 186,857.80 : x
  2. Step 2: Convert to fraction form
    314,185/433,571.94 = 186,857.80/x
  3. Step 3: Cross multiply
    314,185x = 433,571.94 × 186,857.80
  4. Step 4: Simplify right side
    314,185x = 81,016,298,850.13
  5. Step 5: Solve for x
    x = 81,016,298,850.13/314,185
  6. Step 6: Final answer
    x = 257,861.77

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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.