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Finding the Fourth Proportional to 243,475.40, 364,964.70 and 164,597.60

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Solution

The fourth proportional to 243,475.40, 364,964.70 and 164,597.60 is: 246,728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,475.40 : 364,964.70 = 164,597.60 : x
  2. Step 2: Convert to fraction form
    243,475.40/364,964.70 = 164,597.60/x
  3. Step 3: Cross multiply
    243,475.40x = 364,964.70 × 164,597.60
  4. Step 4: Simplify right side
    243,475.40x = 60,072,313,704.72
  5. Step 5: Solve for x
    x = 60,072,313,704.72/243,475.40
  6. Step 6: Final answer
    x = 246,728.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.