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Finding the Fourth Proportional to 467,002.41, 700,725.06 and 277,836.48

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Solution

The fourth proportional to 467,002.41, 700,725.06 and 277,836.48 is: 416,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,002.41 : 700,725.06 = 277,836.48 : x
  2. Step 2: Convert to fraction form
    467,002.41/700,725.06 = 277,836.48/x
  3. Step 3: Cross multiply
    467,002.41x = 700,725.06 × 277,836.48
  4. Step 4: Simplify right side
    467,002.41x = 194,686,984,118.19
  5. Step 5: Solve for x
    x = 194,686,984,118.19/467,002.41
  6. Step 6: Final answer
    x = 416,886.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.