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Finding the Fourth Proportional to 314,052.30, 433,383.03 and 178,099.02

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Solution

The fourth proportional to 314,052.30, 433,383.03 and 178,099.02 is: 245,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,052.30 : 433,383.03 = 178,099.02 : x
  2. Step 2: Convert to fraction form
    314,052.30/433,383.03 = 178,099.02/x
  3. Step 3: Cross multiply
    314,052.30x = 433,383.03 × 178,099.02
  4. Step 4: Simplify right side
    314,052.30x = 77,185,092,927.63
  5. Step 5: Solve for x
    x = 77,185,092,927.63/314,052.30
  6. Step 6: Final answer
    x = 245,771.46

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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.