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Finding the Fourth Proportional to 290,931.00, 401,474.72 and 160,096.46

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Solution

The fourth proportional to 290,931.00, 401,474.72 and 160,096.46 is: 220,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,931.00 : 401,474.72 = 160,096.46 : x
  2. Step 2: Convert to fraction form
    290,931.00/401,474.72 = 160,096.46/x
  3. Step 3: Cross multiply
    290,931.00x = 401,474.72 × 160,096.46
  4. Step 4: Simplify right side
    290,931.00x = 64,274,681,654.70
  5. Step 5: Solve for x
    x = 64,274,681,654.70/290,931.00
  6. Step 6: Final answer
    x = 220,927.58

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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.