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Finding the Fourth Proportional to 288,221.64, 431,446.62 and 245,706.36

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Solution

The fourth proportional to 288,221.64, 431,446.62 and 245,706.36 is: 367,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,221.64 : 431,446.62 = 245,706.36 : x
  2. Step 2: Convert to fraction form
    288,221.64/431,446.62 = 245,706.36/x
  3. Step 3: Cross multiply
    288,221.64x = 431,446.62 × 245,706.36
  4. Step 4: Simplify right side
    288,221.64x = 106,009,178,534.50
  5. Step 5: Solve for x
    x = 106,009,178,534.50/288,221.64
  6. Step 6: Final answer
    x = 367,804.37

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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.