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Finding the Fourth Proportional to 585,933.90, 877,991.75 and 406,369.58

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Solution

The fourth proportional to 585,933.90, 877,991.75 and 406,369.58 is: 608,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,933.90 : 877,991.75 = 406,369.58 : x
  2. Step 2: Convert to fraction form
    585,933.90/877,991.75 = 406,369.58/x
  3. Step 3: Cross multiply
    585,933.90x = 877,991.75 × 406,369.58
  4. Step 4: Simplify right side
    585,933.90x = 356,789,138,690.97
  5. Step 5: Solve for x
    x = 356,789,138,690.97/585,933.90
  6. Step 6: Final answer
    x = 608,923.87

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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.