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Finding the Fourth Proportional to 589,146.55, 813,022.79 and 334,497.74

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Solution

The fourth proportional to 589,146.55, 813,022.79 and 334,497.74 is: 461,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,146.55 : 813,022.79 = 334,497.74 : x
  2. Step 2: Convert to fraction form
    589,146.55/813,022.79 = 334,497.74/x
  3. Step 3: Cross multiply
    589,146.55x = 813,022.79 × 334,497.74
  4. Step 4: Simplify right side
    589,146.55x = 271,954,286,338.16
  5. Step 5: Solve for x
    x = 271,954,286,338.16/589,146.55
  6. Step 6: Final answer
    x = 461,607.19

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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.