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Finding the Fourth Proportional to 586,598.16, 809,571.40 and 331,965.84

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Solution

The fourth proportional to 586,598.16, 809,571.40 and 331,965.84 is: 458,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,598.16 : 809,571.40 = 331,965.84 : x
  2. Step 2: Convert to fraction form
    586,598.16/809,571.40 = 331,965.84/x
  3. Step 3: Cross multiply
    586,598.16x = 809,571.40 × 331,965.84
  4. Step 4: Simplify right side
    586,598.16x = 268,750,049,840.98
  5. Step 5: Solve for x
    x = 268,750,049,840.98/586,598.16
  6. Step 6: Final answer
    x = 458,150.18

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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.