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Finding the Fourth Proportional to 467,705.84, 645,440.28 and 276,714.32

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Solution

The fourth proportional to 467,705.84, 645,440.28 and 276,714.32 is: 381,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,705.84 : 645,440.28 = 276,714.32 : x
  2. Step 2: Convert to fraction form
    467,705.84/645,440.28 = 276,714.32/x
  3. Step 3: Cross multiply
    467,705.84x = 645,440.28 × 276,714.32
  4. Step 4: Simplify right side
    467,705.84x = 178,602,568,180.81
  5. Step 5: Solve for x
    x = 178,602,568,180.81/467,705.84
  6. Step 6: Final answer
    x = 381,869.44

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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.