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Finding the Fourth Proportional to 417,580.96, 626,699.76 and 193,044.64

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Solution

The fourth proportional to 417,580.96, 626,699.76 and 193,044.64 is: 289,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,580.96 : 626,699.76 = 193,044.64 : x
  2. Step 2: Convert to fraction form
    417,580.96/626,699.76 = 193,044.64/x
  3. Step 3: Cross multiply
    417,580.96x = 626,699.76 × 193,044.64
  4. Step 4: Simplify right side
    417,580.96x = 120,981,029,557.29
  5. Step 5: Solve for x
    x = 120,981,029,557.29/417,580.96
  6. Step 6: Final answer
    x = 289,718.74

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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.