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Finding the Fourth Proportional to 412,564, 569,338.32 and 233,716

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Solution

The fourth proportional to 412,564, 569,338.32 and 233,716 is: 322,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,564 : 569,338.32 = 233,716 : x
  2. Step 2: Convert to fraction form
    412,564/569,338.32 = 233,716/x
  3. Step 3: Cross multiply
    412,564x = 569,338.32 × 233,716
  4. Step 4: Simplify right side
    412,564x = 133,063,474,797.12
  5. Step 5: Solve for x
    x = 133,063,474,797.12/412,564
  6. Step 6: Final answer
    x = 322,528.08

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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.