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Finding the Fourth Proportional to 243,564.30, 364,957.65 and 203,906.70

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Solution

The fourth proportional to 243,564.30, 364,957.65 and 203,906.70 is: 305,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,564.30 : 364,957.65 = 203,906.70 : x
  2. Step 2: Convert to fraction form
    243,564.30/364,957.65 = 203,906.70/x
  3. Step 3: Cross multiply
    243,564.30x = 364,957.65 × 203,906.70
  4. Step 4: Simplify right side
    243,564.30x = 74,417,310,051.26
  5. Step 5: Solve for x
    x = 74,417,310,051.26/243,564.30
  6. Step 6: Final answer
    x = 305,534.56

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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.