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Finding the Fourth Proportional to 406,185.84, 560,792.16 and 261,056.52

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Solution

The fourth proportional to 406,185.84, 560,792.16 and 261,056.52 is: 360,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,185.84 : 560,792.16 = 261,056.52 : x
  2. Step 2: Convert to fraction form
    406,185.84/560,792.16 = 261,056.52/x
  3. Step 3: Cross multiply
    406,185.84x = 560,792.16 × 261,056.52
  4. Step 4: Simplify right side
    406,185.84x = 146,398,449,732.88
  5. Step 5: Solve for x
    x = 146,398,449,732.88/406,185.84
  6. Step 6: Final answer
    x = 360,422.34

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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.