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Finding the Fourth Proportional to 304,044.86, 456,141.63 and 214,262.71

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Solution

The fourth proportional to 304,044.86, 456,141.63 and 214,262.71 is: 321,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,044.86 : 456,141.63 = 214,262.71 : x
  2. Step 2: Convert to fraction form
    304,044.86/456,141.63 = 214,262.71/x
  3. Step 3: Cross multiply
    304,044.86x = 456,141.63 × 214,262.71
  4. Step 4: Simplify right side
    304,044.86x = 97,734,138,435.60
  5. Step 5: Solve for x
    x = 97,734,138,435.60/304,044.86
  6. Step 6: Final answer
    x = 321,446.44

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1.5x scale

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.