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Finding the Fourth Proportional to 589,601.64, 813,653.01 and 334,966.80

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Solution

The fourth proportional to 589,601.64, 813,653.01 and 334,966.80 is: 462,255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,601.64 : 813,653.01 = 334,966.80 : x
  2. Step 2: Convert to fraction form
    589,601.64/813,653.01 = 334,966.80/x
  3. Step 3: Cross multiply
    589,601.64x = 813,653.01 × 334,966.80
  4. Step 4: Simplify right side
    589,601.64x = 272,546,745,070.07
  5. Step 5: Solve for x
    x = 272,546,745,070.07/589,601.64
  6. Step 6: Final answer
    x = 462,255.74

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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.