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Finding the Fourth Proportional to 288,473.82, 432,933.93 and 188,606.94

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Solution

The fourth proportional to 288,473.82, 432,933.93 and 188,606.94 is: 283,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,473.82 : 432,933.93 = 188,606.94 : x
  2. Step 2: Convert to fraction form
    288,473.82/432,933.93 = 188,606.94/x
  3. Step 3: Cross multiply
    288,473.82x = 432,933.93 × 188,606.94
  4. Step 4: Simplify right side
    288,473.82x = 81,654,343,759.47
  5. Step 5: Solve for x
    x = 81,654,343,759.47/288,473.82
  6. Step 6: Final answer
    x = 283,056.34

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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.