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Finding the Fourth Proportional to 417,854.19, 626,707.22 and 190,096.91

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Solution

The fourth proportional to 417,854.19, 626,707.22 and 190,096.91 is: 285,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,854.19 : 626,707.22 = 190,096.91 : x
  2. Step 2: Convert to fraction form
    417,854.19/626,707.22 = 190,096.91/x
  3. Step 3: Cross multiply
    417,854.19x = 626,707.22 × 190,096.91
  4. Step 4: Simplify right side
    417,854.19x = 119,135,101,912.67
  5. Step 5: Solve for x
    x = 119,135,101,912.67/417,854.19
  6. Step 6: Final answer
    x = 285,111.66

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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.