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Finding the Fourth Proportional to 586,474.62, 809,312.88 and 331,831.27

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Solution

The fourth proportional to 586,474.62, 809,312.88 and 331,831.27 is: 457,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,474.62 : 809,312.88 = 331,831.27 : x
  2. Step 2: Convert to fraction form
    586,474.62/809,312.88 = 331,831.27/x
  3. Step 3: Cross multiply
    586,474.62x = 809,312.88 × 331,831.27
  4. Step 4: Simplify right side
    586,474.62x = 268,555,320,797.76
  5. Step 5: Solve for x
    x = 268,555,320,797.76/586,474.62
  6. Step 6: Final answer
    x = 457,914.65

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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.