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Finding the Fourth Proportional to 467,959.84, 645,784.68 and 264,054.04

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Solution

The fourth proportional to 467,959.84, 645,784.68 and 264,054.04 is: 364,394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,959.84 : 645,784.68 = 264,054.04 : x
  2. Step 2: Convert to fraction form
    467,959.84/645,784.68 = 264,054.04/x
  3. Step 3: Cross multiply
    467,959.84x = 645,784.68 × 264,054.04
  4. Step 4: Simplify right side
    467,959.84x = 170,522,053,724.11
  5. Step 5: Solve for x
    x = 170,522,053,724.11/467,959.84
  6. Step 6: Final answer
    x = 364,394.63

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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.