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Finding the Fourth Proportional to 586,636.65, 809,570.07 and 382,817.97

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Solution

The fourth proportional to 586,636.65, 809,570.07 and 382,817.97 is: 528,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,636.65 : 809,570.07 = 382,817.97 : x
  2. Step 2: Convert to fraction form
    586,636.65/809,570.07 = 382,817.97/x
  3. Step 3: Cross multiply
    586,636.65x = 809,570.07 × 382,817.97
  4. Step 4: Simplify right side
    586,636.65x = 309,917,970,770.16
  5. Step 5: Solve for x
    x = 309,917,970,770.16/586,636.65
  6. Step 6: Final answer
    x = 528,296.30

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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.