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Finding the Fourth Proportional to 467,987.92, 645,768.71 and 264,042.07

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Solution

The fourth proportional to 467,987.92, 645,768.71 and 264,042.07 is: 364,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,987.92 : 645,768.71 = 264,042.07 : x
  2. Step 2: Convert to fraction form
    467,987.92/645,768.71 = 264,042.07/x
  3. Step 3: Cross multiply
    467,987.92x = 645,768.71 × 264,042.07
  4. Step 4: Simplify right side
    467,987.92x = 170,510,106,929.63
  5. Step 5: Solve for x
    x = 170,510,106,929.63/467,987.92
  6. Step 6: Final answer
    x = 364,347.24

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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.