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Finding the Fourth Proportional to 586,744.85, 809,679.89 and 360,346.61

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Solution

The fourth proportional to 586,744.85, 809,679.89 and 360,346.61 is: 497,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,744.85 : 809,679.89 = 360,346.61 : x
  2. Step 2: Convert to fraction form
    586,744.85/809,679.89 = 360,346.61/x
  3. Step 3: Cross multiply
    586,744.85x = 809,679.89 × 360,346.61
  4. Step 4: Simplify right side
    586,744.85x = 291,765,397,696.54
  5. Step 5: Solve for x
    x = 291,765,397,696.54/586,744.85
  6. Step 6: Final answer
    x = 497,261.12

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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.