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Finding the Fourth Proportional to 224,954.72, 310,236.40 and 186,653.60

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Solution

The fourth proportional to 224,954.72, 310,236.40 and 186,653.60 is: 257,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,954.72 : 310,236.40 = 186,653.60 : x
  2. Step 2: Convert to fraction form
    224,954.72/310,236.40 = 186,653.60/x
  3. Step 3: Cross multiply
    224,954.72x = 310,236.40 × 186,653.60
  4. Step 4: Simplify right side
    224,954.72x = 57,906,740,911.04
  5. Step 5: Solve for x
    x = 57,906,740,911.04/224,954.72
  6. Step 6: Final answer
    x = 257,415.10

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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.