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Finding the Fourth Proportional to 586,632.33, 809,564.11 and 382,813.65

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Solution

The fourth proportional to 586,632.33, 809,564.11 and 382,813.65 is: 528,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,632.33 : 809,564.11 = 382,813.65 : x
  2. Step 2: Convert to fraction form
    586,632.33/809,564.11 = 382,813.65/x
  3. Step 3: Cross multiply
    586,632.33x = 809,564.11 × 382,813.65
  4. Step 4: Simplify right side
    586,632.33x = 309,912,190,901.07
  5. Step 5: Solve for x
    x = 309,912,190,901.07/586,632.33
  6. Step 6: Final answer
    x = 528,290.34

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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.